Differentiate the following
4x²(x³ - 5x) - 7x²?​

Answers

Answer 1

Answer:

[tex]\displaystyle \frac{dy}{dx} = 2x(10x^3 - 30x - 7)[/tex]

General Formulas and Concepts:

Algebra I

Terms/CoefficientsFactoring/Expanding

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Explanation:

Step 1: Define

Identify

[tex]\displaystyle 4x^2(x^3 - 5x) - 7x^2[/tex]

Step 2: Differentiate

Expand:                                                                                                         [tex]\displaystyle 4x^5 - 20x^3 - 7x^2[/tex]Derivative Property [Addition/Subtraction]:                                                 [tex]\displaystyle \frac{dy}{dx} = \frac{d}{dx}[4x^5] - \frac{d}{dx}[20x^3] - \frac{d}{dx}[7x^2][/tex]Derivative Property [Multiplied Constant]:                                                   [tex]\displaystyle \frac{dy}{dx} = 4\frac{d}{dx}[x^5] - 20\frac{d}{dx}[x^3] - 7\frac{d}{dx}[x^2][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle \frac{dy}{dx} = 4(5x^4) - 20(3x^2) - 7(2x)[/tex]Simplify:                                                                                                         [tex]\displaystyle \frac{dy}{dx} = 20x^4 - 60x^2 - 14x[/tex]Factor:                                                                                                           [tex]\displaystyle \frac{dy}{dx} = 2x(10x^3 - 30x - 7)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Book: College Calculus 10e


Related Questions

How did the War of 1812 and the Monroe Doctrine contribute to U.S. nationalism?

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Answer:

How did the Monroe Doctrine impact the US foreign policy?

Although initially disregarded by the great powers of Europe, the Monroe Doctrine became a mainstay of U.S. foreign policy. In 1823 U.S. President James Monroe proclaimed the U.S. protector of the Western Hemisphere by forbidding European powers from colonizing additional territories in the Americas

Explanation:

Which of these statements describes a disadvantage of a traditional

economy? *

Everyone knows their role.

New ways of doing things are encouraged.

New ways of doing things are discouraged.

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Answer:

New ways of doing things are discouraged

Explanation:

Which of these statements describes a disadvantage of a traditional economy? …

A. Everyone knows his or her role.

B. New ways of doing things are encouraged...

✓ C. New ways of doing things are discouraged.

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Comparison Using specific examples, compare the extent to which Islam and Hinduism changed over time.

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Answer:

this is right so your fineThis lets hindi

Explanation:

Answer:

There hasn't been any significant change is Islam apart from the several different sects made. It has only ever been balanced with personal lives if nor balanced then made more important than modernisation or the opposite. Islam has always been a monotheistic Abramic religion .

There isn't one answer to change in Hinduism as it is a complex phenomenon as it has never changed its teachings or excluded anything but has expanded over time wwith Being able to assimilate alien ideas and practices without forging its own fundamental teachings. The more it has changed the more it has stayed the same. Hinduism is a polytheists religion as it holds the belief of many God's.

What was the purpose of paul revere's ride?

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Answer:

to warn the town that the red coats were coming

Explanation:

Where are kami found?
O in torii
O in temples
O in monasteries
O in natural settings

Answers

They are found in natural settings since they are a earth made resource, they are found in places such as mountains, waterfalls, trees, and rocks. Hope this helped

Kami is found in natural settings. The correct option is D.

Where are kami Worshipped?

The homes of kami and places of worship in Shinto are called shrines. To show the kami the outside world, most shrines hold festivals (matsuri) on a regular basis. Shinto priests carry out Shinto rituals and frequently reside on the grounds of the shrine. Priests are able to marry and have children, and both men and women can become priests.

Particularly connected to the natural world, kami can be found in places like mountains, waterfalls, trees, and oddly shaped rocks. Because of this, the number of kami is said to be 8 million, or yaoyorozu-no-kamigami. However, even though everything contains kami, the term "kami" only refers to things that exhibit their kami nature in a particularly striking way. The sacred or mystical component in almost anything is known as kami.

Thus, the ideal selection is option D.

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What horrific sight does Elie see as he and his father enter the first camp on their march to the barracks?

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they are horrified to see a huge pit where babies are being burned, and another for adults.

Which of our founding fathers wanted the federal government to
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Answer:

john carl the second ghzgjigds

How does the U.S. Constitution best reflect the ideal of separation of powers? Giving brainliest

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Answer:

D

Explanation:

Seperation of powers is the seperation of the powers into 3 branches

The Roosevelt Corollary's goal was to

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Answer:

to prevent European forces on the soil of Americas.

Explanation:

Since the 19th Century and Monroe's doctrine, United States tried to prevent European countries to interfere in the internal conflicts and problems on the American continent. Roosevelt believed that United States are the ones that have the obligation to prevent conflicts and to create a peaceful environment especially in the region of the Caribbean. United States in that sense behaved like a police that will prevent problems.

Why does Hughes consider the Reconstruction period a failure?​

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Answer:

federalism debate that had been an issue since the 1790s. However, Reconstruction failed by most other measures: Radical Republican legislation ultimately failed to protect former slaves from white persecution and failed to engender fundamental changes to the social fabric of the South.

Explanation:

This is science but I couldn’t find it pls tell me if I’m right pls

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Answer:

You are correct!

Answer: yes your correct from my perspective good luck!

how do we remember the past?​

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Answer:

Hyperthymesia, it helps us rememebr events frm the past

Explanation:

Answer:

You can make photo albums of your best memories, or you can make videos and tapes of awesome moments. If you mean historical kind of past, I guess, just read more books on the past and write notes.

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Increases in structural unemployment are mainly due to conditions in which of these aspects of the national economy?
А the labor market
the business cycle
С
the education system
D
the regulatory framework

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Answer:

the regulatory framework

Conditions of the educational system are mostly to blame for increases in structural unemployment. As a result, choice (C) is the right option.

What is structural unemployment?

When there is a continuous mismatch between a worker's talents and characteristics and the requirements of a job, there is structural unemployment.

The fact that structural unemployment is an imbalance between the supply and demand of skills is the most obvious. This is sometimes seen in terms of the education levels of the employed and jobless, industry mobility, and the depletion of capabilities during times of unemployment.

Economic changes, technological advancements, and workers lacking the necessary job skills can all be contributing factors to structural unemployment.

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The Statue of Liberty is both iconic and symbolic. What does the Statue of Liberty represent?

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Answer:

Freedom, prosperity, and an alliance between France and the USA

Explanation:

Answer:

you done took my points

Explanation:

The Republican party holds a primary election to determine its candidate for president. In a state with closed primaries, which of the following groups would be allowed to vote in this election?
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registered Democrat voters only
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all registered voters
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will Mark branilest

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Answer:

D

Explanation:

because registered republican voters only will mark branilest

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Democracy voters refers to the fact that all levels of our government—federal, state, and local—are chosen by the people. Citizens elect their government representatives, who in turn reflect their interests and ideas to the government.

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Compared with the other amendments, the Ninth Amendment is more general in the rights it protects. addresses states’ rights in greater detail. broadens federal government power. is narrower in the rights it protects.

Answers

Compared with the other amendments, the Ninth Amendment

is more general in the rights it protects.



Hope this helps!

Answer:

is more general in the rights it protects

Explanation:

what laws did Jefferson refer to when he listed the complaints against the british king

Answers

Answer:

The Slavery Abolition Act 1833

Explanation

Jefferson had a controversial stand on slavery. Despite being a pro-union man, he's known to own more than 500 slaves. Making the public questioned what's his true stance on slavery.   But on the public platform, he stated that  He promise that all men (both right and black) a set of unalienable rights that consist the right of life, liberty, and the pursuit of happiness.

The Slavery Abolition Act 1833 banned slavery in all of British Territory. This act disturbed Jefferson's business considering the large part of his labor force used slaves.

Answer:

The Slavery Abolition Act 1833

Explanation

Jefferson had a controversial stand on slavery. Despite being a pro-union man, he's known to own more than 500 slaves. Making the public questioned what's his true stance on slavery.   But on the public platform, he stated that  He promise that all men (both right and black) a set of unalienable rights that consist the right of life, liberty, and the pursuit of happiness.

The Slavery Abolition Act 1833 banned slavery in all of British Territory. This act disturbed Jefferson's business considering the large part of his labor force used slaves.

Explanation:

When did feudalism begin? a.before the period of Viking, Magyar, and Muslim invasions b.during the period of Viking, Magyar, and Muslim invasions c.shortly after the period of Viking, Magyar, and Muslim invasions d.long after the period of Viking, Magyar, and Muslim invasions

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b.during the period of Viking,Magyar and Muslim invasions.

The feudalism began during the times of Viking, Magyar, and Muslim invasions.

What was feudalism?

Feudalism was a ruling method adopted by the king where he was provided the land to their knights in exchange for the military service provided to them.

Feudalism was a political system followed between the 9th Century till the 13th Century in the medieval societies of European countries. In this system, the land was provided by the king to the noble person for using it. It was the longest period of ancient history. It was started in

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After Britain won the Seven Years' War and gained land in North America, it issued the Royal Proclamation of 1763, which prohibited American colonists from settling west of Appalachia. The Treaty of Paris, which marked the end of the French and Indian War, granted Britain a great deal of valuable North American land.

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Israel is the nation where naturism villages are located

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D) They voted to elect a Spanish governor to lead the Louisiana colony
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F)They reluctantly accepted new laws and agreed to pay new faxes

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Answer: 3rd and 5th are correct hope this helps!!!

Explanation:

What precautions did Houston take in order to protect Central Texas settlements from Native American raids?
a.
Houston asked the U.S. government for help.
b.
Houston called on the Texas army to protect the settlements in Central Texas.
c.
Houston relied on the Texas Rangers and militias to protect the settlements in Central Texas.
d.
Houston relied on the new court system to settle land disputes between the Native Americans.

Answers

Answer:

C, Houston relied on the Texas Rangers and militias to protect the settlements in Central Texas.

Explanation:

Which empire's accomplishments include the Hanging Gardens of Babylon?

Chaldean

Hittite

Persian

Akkadian

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the first one

Explanation:

the first oneeeeeee yesssss snsiebeukans

According to the diagram, which of the following is correct regarding the caste system.

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Answer:

there is no diagram

Explanation:

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Reread the quote from Asoka: “I have had banyan trees planted on the roads to give shade to people and animals. I have planted mango groves, and I have had [wells] dug and shelters erected along the roads.” What does this quote say about Asoka’s reign in India?

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Answer:

This means his love for his country and how he cares for his place.

How many Navy ships were ordered to be built by the Americans?

Answers

Answer:

hope it helps...

Explanation:

Federal Navy

As inconclusive as the War of 1812 was, it did mark the establishment of a permanent U.S. Navy. For the first time in the country's brief 40 year history, there was no political debate over a standing navy. In 1816, Congress approved a navy bill calling for 6 ships of the line and 9 heavy frigates.

The list of German Federal Navy ships includes all ships commissioned into service with the Bundesmarine, the German navy which served West Germany during the Cold War from its foundation in 1956 through the unification of Germany in 1990, after which it was renamed German Navy (Deutsche Marine) in 1995.

In a paragraph of 3–5 sentences, evaluate the accomplishments of at least two African American leaders during the Progressive Era.

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Answer:

Is that the answer?

Explanation:

Answer:

Something you guys can add

Explanation:

Booker T. Washington was known for his 1895 Atlanta Compromise Speech.

W. E. B. Du Bois had an organized movement call the Niagara Movement

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Answer:

Katie Sowers has created change by being the First Woman Coach in Super Bowl.

She might inspire other women and girls as they will also be encouraged to follow their dreams and not be afraid to be the first one to bring that change.

Explanation:

'Katie Sowers is the First Woman to Coach in a Super Bowl. Her Goal: 'Make sure I'm Not the Last' is an article written by Adam Kilgore. The article is about Katie Sowers, the First Woman to coach in Super Bowl.

Katie Sowers brought the change by being the First Woman Coach in Super Bowl. She was inspired by seeing former WNBA star Becky Hammon coaching for the NBA's. From there, she started her journey of being a woman coach, first in NFL. From there she journeyed to become the First Woman Coach in Super Bowl. He goal in life is never be the last one to bring the change.

Her life is an inspiration for many other women and girls to pursue the same path or even if different, they will not be afraid to be the first one to bring the change. Katie Sowers once said that 'You have to have a first for everything to create change...' She aspires that many other women and girls approach the same path so that one day people may not be surprised to see a girl coaching in the Super Bowl.

Why did the delegates at the Convention of 1833 want Texas statehood?

A. They felt that there were too many settlers in Coahuila y Tejas.

B. They felt the capital in Coahuila was too far away.

C. They felt the government in Coahuila had been abusing its power.

D. They felt that statehood was the first step to independence.

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The answer’s A. Hope I wasn’t too late?

What issue regarding North Korea has the American government been most concerned with?

Answers

Answer:

North Korea's Nuclearization

Explanation:

The American government is concerned that North Korea has access to nuclear weapons.

North Korea is also a communist dictatorship, something that the American government has a big opposition to.

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