# Exploring Derivatives of Functions

- Author:
- Dr. Doug Davis, 3D

- Topic:
- Calculus, Derivative, Functions

Explore function derivatives with this applet. You can enter a function of in the entry box. Some functions to consider include

- sin(x)+1
- log(x)
- tan(x)
- asin(x)
- cos(x)+1
- exp(x)
- x^2
- -x^2

Enter any function.

- Show the first derivative. ( Uncheck 2nd Derivative )
- Is the blue curve increasing or decreasing where the derivative is negative?
- Do you notice anything about the function where the derivative crosses zero?

- Show the second derivative
- What can you say about the blue function where the second derivative is negative?