What does the derivative mean?

The derivative is the rate of change of a function with respect to a variable.

Can I calculate higher derivatives?

This calculator focuses on first, second, and third derivatives.

Use mathjs-style syntax such as x^2, 2*x, sin(x), cos(x), exp(x), and sqrt(x).

MATMathematics

Find the first, second, or third symbolic derivative of an expression with respect to a variable.

Expression

Variable

Derivative order

Try an example

Derivative

3 * x ^ 2 + 4 * x - 5

Derivative found: 3 * x ^ 2 + 4 * x - 5.

Original function

x^3 + 2x^2 - 5x + 3

Order

First derivative

Derivative

d/dx x^3 + 2x^2 - 5x + 3 = 3 * x ^ 2 + 4 * x - 5

OriginalDerivative

Formula

f^{(n)}(x) = \frac{d^n}{dx^n} f(x),\quad n \in \{1,2,3\}

Where

The expression is parsed by mathjs, differentiated the requested number of times, then simplified for display.