# High School Math : Derivatives

## Example Questions

### Example Question #1 : Derivatives

Find the second derivative of f(x).

Explanation:

First we should find the first derivative of . Remember the derivative of is and the derivative of is  :

The second derivative is just the derivative of the first derivative:

### Example Question #1 : Derivatives

Find the derivative of the function

.

Explanation:

We can use the Chain Rule:

Let , so that .

### Example Question #1 : Derivative Interpreted As An Instantaneous Rate Of Change

Evaluate the following limit:

Explanation:

When  approaches 0 both  and  will approach . Therefore, L’Hopital’s Rule can be applied here. Take the derivatives of the numerator and denominator and try the limit again: