GRE Subject Test: Math : Implicit Differentiation

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Implicit Differentiation

Differentiate the following with respect to 

Possible Answers:

Correct answer:

Explanation:

The first step is to differentiate both sides with respect to :

Note: Those that are functions of  can be differentiated with respect to , just remember to mulitply it by 

Now we can solve for :

Example Question #2 : Implicit Differentiation

Find 

 for .

Possible Answers:

Correct answer:

Explanation:

Our first step would be to differentiate both sides with respect to :

The functions of  can be differentiated with respect to , just remember to multiply by  .

Example Question #3 : Implicit Differentiation

Differentiate the following to solve for .

Possible Answers:

 

Correct answer:

 

Explanation:

Our first step is to differentiate both sides with respect to :

The functions of  can by differentiated with respect to , just remember to multiply them by 

Example Question #4 : Implicit Differentiation

Differentiate the following with respect to .

Possible Answers:

Correct answer:

Explanation:

Our first step is to differentiate both sides with respect to :

Note: we can differentiate the terms that are functions of  with respect to , just remember to multiply it by .

Note: The product rule was applied above: 

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: