Derivative Calculator

Enter the function and variable to find the derivative using derivative calculator.

This will be calculated:

Is This Tool Helpful?


Differential or Differentiation calculator is an online calculus tool that finds the derivative of a given function. It can perform explicit as well as implicit differentiation at one click.

Most importantly, differentiate calculator shows the step by step calculation along with the detailed answer.

Derivative – Definition

Let f(x) be a function whose domain contains an open interval at some point x0. The function f(x) is said to be differentiable at x0, and the derivative of f(x) at x0 is given by:


In other words, derivative measures the sensitivity to change of the function value with respect to a change in its argument. The reverse function of derivative is known as antiderivative.


How to calculate derivative?

Let’s calculate the derivative of 1/x to grasp the basic idea of derivation.

As 1/x = x-1

We will use product rule (Refer to below rules).

d/dx (x-1) = -1(x-2) = - 1/x2


Find the derivative of (x+7)2.


Step 1: Apply derivation symbol.


Step 2: Apply power rule.

differential calculation

power rule

derivative calc

result of derivative

Derivative rules – Formulas

Constant Rule

constant rule

Power Rule

power rule

Sum Rule

Sum rule

Product Rule

product rule

Quotient Rule

quotient rule

Chain Rule

chain rule

Trigonometric Derivatives

trigonometric rules

Derivative of e^x (Exponential)

exponential rule

Logarithm Derivatives

log rule for derivative