A function [math]F[/math] is said to be an [i]antiderivative [/i]of function [math]f[/math] if [math]F'\left(x\right)=f\left(x\right)[/math]. In this figure, the [b][color=#38761D]green function[/color] [color=#38761D]is an antiderivative[/color][/b] of the [color=#ff7700][b]orange function[/b][/color]. [br][br]As you drag the blue slider up, [color=#0000ff]several antiderivative functions[/color] of [math]f[/math] are revealed. Notice how the slope of the orange line drawn tangent to the green antiderivative function does not change. You can also drag the [color=#38761d][b]green point[/b] [/color]along the graph of this antiderivative function to illustrate this. [br][br]Try entering different functions for [math]f[/math] and dragging the slider. Can you see how the different antiderivatives are all related?

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]