All GRE Subject Test: Math Resources
Example Questions
Example Question #1 : Partial Differentiation
Differentiate the following with respect to .
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 : Partial Differentiation
Find
for
.
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 : Partial Differentiation
Differentiate the following to solve for .
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 #2 : Partial Differentiation
Differentiate the following with respect to .
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
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