Derivative Calculator

Easily calculate the derivative of any polynomial function. Enter your equation and visualize the derivative instantly!

Enter Polynomial Function

Enter a polynomial equation in terms of x. For example: 3x^2 - 2x + 5

Derivative

f'(x) =

Visualization

Understanding Derivatives

In calculus, the derivative of a function measures the rate of change of the function's value with respect to its input value. For polynomial functions, finding the derivative involves applying the power rule and sum/difference rules. For example, the derivative of $$x^n$$ is $$nx^{n-1}$$. This calculator helps you compute derivatives of polynomial functions and visualize them graphically. The original function is shown in teal, and its derivative is in pink, allowing you to see how the slope of the original function changes. Use this tool to check your homework, explore calculus concepts, or quickly find derivatives for your projects.