### All GRE Subject Test: Math Resources

## Example Questions

### Example Question #1 : Implicit Differentiation

Differentiate the following with respect to .

**Possible Answers:**

**Correct answer:**

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 #1 : Implicit Differentiation

Find

for .

**Possible Answers:**

**Correct answer:**

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 .

**Possible Answers:**

**Correct answer:**

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 .

**Possible Answers:**

**Correct answer:**

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:

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