GRE Subject Test: Math : Implicit Differentiation

Example Questions

Example Question #1 : Implicit Differentiation

Differentiate the following with respect to       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 .     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 #1 : Partial Differentiation

Differentiate the following to solve for .      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 .      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:    All GRE Subject Test: Math Resources 