Calculus 3 : Derivatives

Study concepts, example questions & explanations for Calculus 3

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Example Questions

Example Question #91 : Calculus Review

Find the derivative  of the function 

Possible Answers:

Correct answer:

Explanation:

We can find the derivative  of the function  by using the power rule for derivatives:

with  to get

Example Question #92 : Calculus Review

Find the derivative  of the function 

Possible Answers:

Correct answer:

Explanation:

We can find the derivative  of the function  by using the power rule for derivatives:

with  to get

Example Question #93 : Calculus Review

Find the derivative  of the function 

Possible Answers:

Correct answer:

Explanation:

We can find the derivative  of the function  by using the power rule for derivatives:

with  to get

Example Question #94 : Calculus Review

Find the derivative  of the function  

Possible Answers:

Correct answer:

Explanation:

We can find the derivative  of the function  by using the power rule for derivatives:

with  with the chain rule to get

Example Question #95 : Calculus Review

Find the derivative  of the function 

Possible Answers:

Correct answer:

Explanation:

We can find the derivative  of the function  by using the power rule for derivatives:

with  with the chain rule to get

Example Question #96 : Calculus Review

Find the derivative of the function 

Possible Answers:

Correct answer:

Explanation:

To find the derivative of the function , we use the product rule:

with  and 

so we get

Example Question #97 : Calculus Review

Find the derivative of the function 

Possible Answers:

Correct answer:

Explanation:

To find the derivative of the function , we use the product rule:

with  and 

so we get

Example Question #98 : Calculus Review

Find the derivative of the function 

Possible Answers:

Correct answer:

Explanation:

To find the derivative of the function , we use the product rule:

with  and 

so we get

Example Question #99 : Calculus Review

Find the derivative of the function 

Possible Answers:

Correct answer:

Explanation:

To find the derivative of the function , we use the product rule:

with  and 

so we get

Example Question #100 : Calculus Review

Find the derivative of the function 

Possible Answers:

Correct answer:

Explanation:

To find the derivative of the function , we use the product rule:

with  and 

so we get

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