# Visualizing derivatives and antiderivatives

9 videos

4 skills

You understand that a derivative can be viewed as the slope of the tangent line at a point or the instantaneous rate of change of a function with respect to x. This tutorial will deepen your ability to visualize and conceptualize derivatives through videos and exercises.
We think you'll find this tutorial incredibly fun and satisfying (seriously).

### Derivative intuition module

VIDEO
3:58 minutes

Sal walking through the derivative intuition module made by Ben Eater

### Derivative intuition

PRACTICE PROBLEMS

### Interpreting slope of a curve exercise

VIDEO
2:51 minutes

### Recognizing slope of curves

PRACTICE PROBLEMS

Identify intervals with positive and negative slope on graphs of functions

### Graphs of functions and their derivatives example 1

VIDEO
5:57 minutes

### Where a function is not differentiable

VIDEO
3:35 minutes

### Identifying a function's derivative example

VIDEO
2:38 minutes

### Figuring out which function is the derivative

VIDEO
4:03 minutes

### Graphs of functions and their derivatives

PRACTICE PROBLEMS

### Intuitively drawing the derivative of a function

VIDEO
5:05 minutes

### Intuitively drawing the antiderivative of a function

VIDEO
6:45 minutes

### Visualizing derivatives exercise

VIDEO
3:56 minutes

Exercise available at https://www.khanacademy.org/math/calculus/differential-calculus/derivative_intro/e/visualizing_derivatives Exercise made by Stephanie Chang

### Visualizing derivatives

PRACTICE PROBLEMS