Find the third derivative of f(x)=∛6x+1
f^(4)(x)=

Answers

Answer 1

[tex]f(x) = \sqrt[3]{6x+1} = ( 6x +1 )^{\tfrac 13}\\\\\\f'(x) = \dfrac 13 (6x +1)^{\tfrac 13 - 1} \cdot (6+0) = 2 (6x+1)^{-\tfrac{2}3}\\\\\\f''(x) = 2 \left( -\dfrac 23 \right) (6x+1)^{-\tfrac 23 - 1} \cdot(6+0)= -8(6x+1)^{-\tfrac 53}\\\\\\f'''(x) = -8 \left( - \dfrac 53\right) (6x+1)^{-\tfrac 53 - 1} \cdot (6+0) = 80(6x+1)^{-\tfrac 83}\\\\\text{Hence the third derivative of f(x) is}~ 80(6x+1)^{-\tfrac 83}\\[/tex]


Related Questions

In which areas was Nixon unsuccessful?

Answers

Answer:

Dealing with political opponents.

Explanation:

Which of these statements about farming in the Indus Valley and Egypt is true?

A) Farming was not an important endeavor in Egypt, but it was in the Indus Valley.

B) Both civilizations used slave labor to pull plows in the fields they cultivated.

C) Farmers in both places planted in the fertile lands near the rivers.

D) Rice was the chief crop in both the Indus Valley and in Egypt.

Answers

c. they were both utilizing the river valleys to flood to fill the land with silt

Why is there history?

Answers

yeh

Explanation:

I don't know to remember to not forgot

Which describes an impact of Magna Carta on the American colonist in the 1770s?

A
They thought they had the right to overthrow a king who did not protect their rights.

B
They favored a separation of the powers of government into different branches.

C
They believed the could not be governed by far-away island.

D
They believed they could not be taxed without their consent.

Answers

A is the answer hope this helps

Which of the following best describes the effect trade hat on social functions within early farming communities

Answers

Answer:

One of the most significant moments in human history was the advent of farming. It didn't all happen at the same time or to the same extent across societies, but the switch from looking for food to growing it changed everything. Farming allowed humans to actually store extra food, leaving more time for activities that weren't always about eating, like the establishment of complex societies.

Explanation:

Exploration brought Europe and the Americas in contact with one another. This resulted in the movement of people, plants, animals, and germs—called the Columbian Exchange—that changed life on both continents. Was the Columbian Exchange good for the world? Write an essay for your teacher and peers in which you argue your view.

Answers

Answers:

The exchange introduced a wide range of new calorically rich staple crops to the Old World—namely potatoes, sweet potatoes, maize, and cassava. The primary benefit of the New World staples was that they could be grown in Old World climates that were unsuitable for the cultivation of Old World staples.

As part of the war on terror, what action did the United States take in Afghanistan?

It captured Osama bin Laden.
It jailed all members of al-Qaeda.
It told Americans to leave Afghanistan.
It drove the Taliban out of power.

Answers

As part of the war on terror the United States drove the Taliban out of power.

What was the war on terror?

This was a war that was declared on the terrorist organizations in the Asian continent and the governments that supported them.

The war was undertaken by President Bush after the terrorism act on the US by Al Qaeda.

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Answer:

D. It drove the Taliban out of power

Is creating money to cover a budget deficit a good or bad idea? Explain your answer.

Answers

Creating money to cover a budget deficit is a bad idea because it creates inflation of the countries currency. Inflation devalues currency on the international market so it would cause more harm than good.

does anyone know this??​

Answers

the answer is aids epidemic

which of the following is best example of president acting qs commander in cheif?

a. Enforces loaws passed by congress
b. Signs and vetos bills
c. Throws first ptuch at baseball game
d. Remove american troops from afganistan ​

Answers

Answer:

D

Explanation:

because commander in chief decides when military actions happen. like troops coming home.

PLEASE HELP ME NO WRONG ANSWER PLEASE :..(

Which of these statements about the Nile River is true?

A) The flooding of the Nile River was predictable.

B) The river provided some fish as food and little else to the civilization.

C) Egyptian life was not dependent on the Nile River.

D) The Nile River is the shortest river in Africa.

Answers

Letter A is the correct answer.

The Charge of the light bridge' by Alfred Lord Tennyson

Explain why Tennyson does not name or single out any of the six hundred.

Answers

Answer:

To emphasize that the 600 men were willing to give their lives on the battlefield that day.

Taking courageous steps toward their own deaths

Explanation:

Hope this helps C:

Why were some Americans upset by Lt. William Calley's conviction?
They did not like that Calley was put under house arrest.
They thought that Calley's sentence should have been five years.
They thought the trial was unfair.
They felt that Calley was being made a scapegoat.

Answers

Answer:

Why were some Americans upset by Lt. William Calley's conviction? Thousands of soldiers were hooked on heroin. The largest incident of American atrocities occurred at

Explanation:

Describe at least two of the three reasons that the Chinese closed their doors to the world.

Answers

The reasons that can be attributed to why Chinese closed their doors to the world are;

So they can get back on their feet from past humiliationSo they can make their country great

Why did the Chinese people focus on themselves ?

Chinese which is group of languages with different tribes focus on themselve so they can develop themselves in term of economy and military so as to be one of the powerful country in the world.

The Chinese tribes includes;

Standard Chinese Yue WuMinbei

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The power of the U.S. Supreme Court and other federal courts to declare that a law or executive order is unconstitutional?

A
elastic power

B
judicial review

C
enumerated power

D
writ of certiorari

Answers

The power of the US Supreme court and other federal court to declare a law or executive order is unconstitutional is Judicial review. The correct option is (B).

What is judicial review?

Judicial review refers to the power of the supreme court to declare a law or executive order as unconstitutional. It is fundamental to the US government.

For example in the case of Roe v. Wade case, Supreme court ruled that the law of abortion is unconstitutional.

Thus the option (B) is correct.

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What did the guano islands act allow the untied states

Answers

Answer:

The Act enables U.S. citizens to take possession of unclaimed islands containing guano for the U.S., and empowered the President to send in armed military to intervene. This encouraged American entrepreneurs to search and exploit new deposits on tiny islands and reefs in the Caribbean and in the Pacific.

Answer:

The Act enables U.S. citizens to take possession of unclaimed islands containing guano for the U.S., and empowered the President to send in armed military to intervene. This encouraged American entrepreneurs to search and exploit new deposits on tiny islands and reefs in the Caribbean and in the Pacific.

Explanation:

Which statement best describes a major difference between the Tinker v. Des
Moines and New Jersey v. T.L.O. Supreme Court decisions?
A. Tinker involved the application of the due process clause, while
T.L.O. involved the free expression clause.
B. Tinker established a legal precedent used in future cases, while
T.L.O. applied only to a specific case.
OC. Tinker strengthened civil liberty protections for public school
students, while T.L.O. limited them.
D. Tinker dealt with Fourteenth Amendment protections, while T.L.O.
dealt with Bill of Rights prote

Answers

The difference between the Supreme Court decisions about Tinker is that he strengthened civil liberty protections for public school.

What is Supreme Court decisions?

Supreme Court decisions serves as the outcome of the case between Tinker and the T.L.O which was in favor of Tinker.

Therefore, Tinker win the case because of his civil liberty protections for public schools, and students enjoyed it.

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A law passed by a legislature
(Crossword puzzle) (have 7 letters in it)

Answers

Answer:

Statute

Explanation:

Hoped this helped with crossword

• Medgar Evers
• William L. Moore
• Dr. Martin Luther King, Jr.

The men above were all
A.
integral to the ruling of the Brown v. Board of Education case.
B.
civil rights leaders who lost their lives during the movement.
C.
African American mayors elected during the Civil Rights Movement.
D.
civil rights leaders who helped write the Civil Rights Act of 1964.

Answers

B.

civil rights leaders who lost their lives during the movement.

What caused the U.S. government to go to war with Native Americans?
O The U.S. government refused to allow Native Americans to join the settlers moving west, causing
conflict.
O The U.S. government refused to provide the food and money promised to Native Americans, and Native
Americans retaliated.
O The U.S. government wanted to force Native Americans to adopt American culture.
O The U.S. government retaliated when Native Americans failed to honor their treaties.
Finish
1 2 3 4 5

Answers

Answer:

no 5 I guessed is the answer

who is the main charecter in the holucust boom survivers

Answers

The main character in the holucust boom survivers is Adolf Hitler.

What is Holocaust?

The Holocaust is a type of massive slaughter that involves the burning of victims or the use of nuclear weapons.

A typical example of Holocaust is the genocide that took place in Germany during the second world war. This was lead by the German leader, Adolf Hitler.

Therefore, one of the main characters in holucust boom survivers is Adolf Hitler who was the antagonist.

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In the 1800s mass production led to

Answers

Answer:

Mass production in factories made it possible to manufacture goods more cheaply and quickly.

Explanation:

What sparked Native Americans in Tejas to attack Spanish settlements?

Answers

The desires to forced the Spanish consquisators out sparked the attack from Native Americans on the Spanish settlements in Tejas.

What is the meaning of Tajas?

The term "Tejas" is a Spanish word for Texas region before its became the 28th state of the United State as Texas.

However, the desires to forced the Spanish consquisators out sparked the attack from Native Americans on the Spanish settlements in Tejas.

Therefore, the Option B is correct.

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The ancient prime minister is equivalent to what position?

Answers

Answer:

In ancient times, the prime minister was equivalent to the prime minister under the present cabinet system, the secretary of state under the presidential system, the president of the executive yuan under the two-head system, or the premier of the State Council of China, who supplemented the party’s dominance.

i need help with this

Answers

Answer:

a. federal power was divided among three branchds

Explanation:

the headline was worried about unfair power to one group or person; dictator or king. The three branches split federal power to make laws fair and not result to tyranny.

What issue seemed to matter most to voters during the 2000 election?

eliminating term limits for presidents

restoring respect to the office of president

increasing efforts to prevent terrorist attacks

creating a federal healthcare system

Answers

Answer:

I think the answer is restoring respect to the office of president

Sorry if I'm too late.

Which of the following directly contributed to soil erosion on the Great Plains in the 1930s?
O railroads
O heavy rains
O farming
homesteading

Answers

Answer:

which of the following directly contributed to soil erosion on the greatest planes in 1930 is farming

Commodore Matthew perry forced the Japanese to

Answers

enter into trade with the United States and demanded a treaty permitting trade and the opening of Japanese ports to U.S. merchant ships.

Which best describes the European Union?
an economic policy that places tariffs on goods entering Europe
a trade agreement responsible for one of the world's largest economies
an economic policy that lowers tariffs on goods sent from Europe to the United States
a trade agreement that unites all European countries with a single a trading goal ,, ANSWER HERE

Answers

Answer:

B. a trade agreement responsible for one of the worlds largest economies

Explanation:

right on edge

The European Union is a trade agreement that unites all European countries with a single trading goal. Therefore, the correct answer is D.

What is the European Union?

The European Union (EU) is a political and economic union of 27 member states located primarily in Europe. The EU operates through a system of supranational institutions and intergovernmental-negotiated decisions by the member states. It aims to create a single market, allowing for the free movement of goods, capital, services, and people, as well as a common trade policy. The EU is responsible for one of the world's largest economies, with a GDP of over $18 trillion.

The EU has established a single currency, the Euro, which is used by 19 of its member states. It also has a standardized system of laws that apply to all member states, known as the acquis communautaire.

Therefore, the European Union is a trade agreement that unites all European countries with a single trading goal, which is to create a single market and a common trade policy.

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The eastern part of the state tends to be

Answers

Answer:

Northeast India

Explanation:

It covers the north eastern region of India which comprises eight states – Arunachal Pradesh, Assam, Manipur, Meghalaya, Mizoram, Nagaland, Tripura and Sikkim.

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