Derivative Calculator

Type a polynomial such as 3x^3 - 2x + 5 to get its first and second derivatives.

Use ^ for powers (x^2), brackets like (x+1)^2 are fine

Result

Enter values and press Calculate to see the result.

Formula

ddx axn=naxn−1\frac{d}{dx}\,a x^n = n a x^{n-1}

The power rule: bring the power down and reduce it by one.

How to use this calculator

  1. Type the polynomial. Implicit multiplication like 3x or 2(x+1) works.
  2. Press Calculate.

Worked example

Differentiate 3x³ − 2x + 5

3x³ → 9x², −2x → −2, and the constant 5 → 0.

So f′(x) = 9x² − 2 and f″(x) = 18x.

Frequently asked questions

Which functions are supported?

Polynomials (powers of one variable). For sin, eˣ or ln, use Sumzo AI.

What is the second derivative?

The derivative of the derivative — it describes how the slope itself changes (concavity).

Learn more