All GRE Subject Test: Math Resources
Example Questions
Example Question #11 : Derivatives & Integrals
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 #1 : 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:
Example Question #1 : Functions Of More Than Two Variables
Solve for :
To solve for the partial derivative, let all other variables be constants besides the variable that is derived with respect to.
In , the terms
are constants.
Derive as accordingly by the differentiation rules.
Example Question #2 : Partial Differentiation
Suppose the function . Solve for
.
Identify all the constants in function .
Since we are solving for the partial differentiation of variable , all the other variables are constants. Solve each term by differentiation rules.
Example Question #1 : Partial Differentiation
Suppose the function . Solve for
.
Identify all the constants in function .
Since we are solving for the partial differentiation of variable , all the other variables are constants. Solve each term by differentiation rules.
Certified Tutor
Certified Tutor
All GRE Subject Test: Math Resources
