# Derivative Calculator

Derivatives are defined as finding the rate of change of a function with respect to other variables. It deals with the variables such as x and y, functions f(x), and the corresponding changes in the variables x and y.

## What is Derivative Calculator?

'Cuemath's Derivative Calculator' is an online tool that helps to calculate the value of the derivatives. Cuemath's online Derivative Calculator helps you to calculate the value of the derivatives in a few seconds.

## How to Use Derivative Calculator?

Please follow the below steps to find the value of the derivatives:

**Step 1:**Enter the function with respect to x in the given input boxes.**Step 2:**Click on the**"Calculate"**button to find the value of the derivatives.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the different functions.

## How to Find Derivative Calculator?

The derivative of a function is represented by f '(x). It means that the function is the derivative of y with respect to the variable x. The symbol dy and dx are called differentials. The process of finding derivative is called differentiation.

There are common functions and rules we follow to find derivatives

**Solved Example:**

Find the derivative value of 5x^{3} + 2x^{2}

**Solution:**

= d / dx( 5x^{3} + 2x^{2})

= d / dx ( 5x^{3}) + d / dx(2x^{2})

Using multiplication by constant and power rule,

= (5 × 3x^{3 - 1}) + (2 × 2x^{2 - 1})

= 15x^{2} + 4x

Therefore, the derivative value of 5x^{3} + 2x^{2 }is 15x^{2} + 4x

Similarly, you can use the calculator to find the value of derivatives for the following:

- x
^{3}/ 2 - 5x
^{2}+ 6y^{2}