Derivative Visualizer

Explore functions, derivatives, and tangent lines interactively

Function Selection

Custom Function (use x as variable):

Show Function f(x)

Show Derivative f'(x)

Show Tangent Line

Show Point

X Position: 0.00

Function f(x)

Derivative f'(x)

Tangent Line

Click on the graph or use the slider to explore different points

x-coordinate

1.00

f(x)

1.00

f'(x) - Derivative

2.00

Tangent Line Equation

y = 2x - 1

f(x) = x²

f'(x) = 2x