# Second Derivative Animation

Read about derivatives and second derivatives if you don't already know what they are!

Here you can see the derivative f'(x) and the second derivative f''(x) of some common functions.

Notice how the **slope** of each function is the **y-value** of the derivative plotted below it.

For example, move to where the sin(x) function slope flattens out (slope=0), then see that the derivative graph is at zero. A similar thing happens between f'(x) and f''(x). Try this at different points and other functions.