Calculus 2 : First and Second Derivatives of Functions

Study concepts, example questions & explanations for Calculus 2

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Example Questions

Example Question #91 : First And Second Derivatives Of Functions

Find the derivative of the function:

Possible Answers:

Correct answer:

Explanation:

The derivative of the function is equal to

and was found using the following rules:

Example Question #92 : First And Second Derivatives Of Functions

Find the derivative of the function:

Possible Answers:

Correct answer:

Explanation:

The derivative of the function is equal to

and was found using the following rules:

Example Question #93 : First And Second Derivatives Of Functions

Find the derivative of the function:

Possible Answers:

Correct answer:

Explanation:

The derivative of the function is equal to

and was found using the following rules:

Example Question #94 : First And Second Derivatives Of Functions

Find the derivative of the function:

Possible Answers:

Correct answer:

Explanation:

The derivative of the function is equal to

and was found using the following rules:

Example Question #95 : First And Second Derivatives Of Functions

Find the derivative of the function:

Possible Answers:

Correct answer:

Explanation:

The derivative of the function is equal to

and was found using the following rules:

Example Question #96 : First And Second Derivatives Of Functions

Find the derivative of the function:

Possible Answers:

Correct answer:

Explanation:

The derivative of the function is equal to

and was found using the following rules:

Note that the square root itself is the "outer" function when using the first rule, the chain rule.

Example Question #97 : First And Second Derivatives Of Functions

Find the derivative of the function:

Possible Answers:

Correct answer:

Explanation:

The derivative of the function is equal to

and was found using the following rules:

Example Question #98 : First And Second Derivatives Of Functions

Find the second derivative of the function:

Possible Answers:

Correct answer:

Explanation:

The derivative of the function is equal to

and was found using the following rules:

Example Question #99 : First And Second Derivatives Of Functions

Find the derivative of the function:

Possible Answers:

Correct answer:

Explanation:

The derivative of the function is equal to

and was found using the following rules:

Note that all of the radicals act as "outer" functions when using the first rule, the chain rule.

Example Question #100 : First And Second Derivatives Of Functions

Find the derivative of the function:

Possible Answers:

Correct answer:

Explanation:

The derivative of the function is equal to 

and was found using the following rules:

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