GRE Subject Test: Math : Chain Rule

Study concepts, example questions & explanations for GRE Subject Test: Math

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Example Questions

Example Question #1 : Chain Rule

Compute the derivative:  

Possible Answers:

Correct answer:


This question requires application of multiple chain rules.  There are 2 inner functions in , which are  and .  

The brackets are to identify the functions within the function where the chain rule must be applied.

Solve the derivative.

The sine of sine of an angle cannot be combined to be sine squared.

Therefore, the answer is: 

Example Question #2 : Chain Rule

Find the derivative of the following function:

Possible Answers:

Correct answer:


Recall chain rule for this problem

So if we are given the following,

We can think of it like this

Clean it up a bit to get:

Example Question #3 : Chain Rule

What is the derivative of 

Possible Answers:

Correct answer:


Chain Rule:

For this problem


Plug the values into the Chain Rule formula and simplify:

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