The derivative calculator is a free online tool that displays the derivative of the given function. CoolGyan’S online derivative calculator tool makes the calculations faster, and it shows the first, second, third-order derivatives of the function in a fraction of seconds.

## How to Use the Derivative Calculator?

The procedure to use the derivative calculator is as follows:

**Step 1:** Enter the function in the respective input field and choose the order of derivative

**Step 2:** Now click the button “Calculate” to get the derivative

**Step 3:** The derivative of the given function will be displayed in the new window

### What is the Derivative of a Function?

In calculus, one of the basic concepts is the derivative of a function. It occupies the central concept in calculus. We know that differentiation and integration are the two important concepts. Differentiation is the process of finding the derivative of a function, whereas integration is the process of finding the antiderivative of a function. The derivative of a function describes the rate of change. That means that it shows the amount by which the function is changing at the given point.

### Standard Form

The standard form to represent the derivative of a function is given below:

An infinitesimal change in the variable “x” is denoted by dx. Thus, the derivative of the variable “y” with respect to the variable “x” is given by **dy/dx**.

## Frequently Asked Questions on The derivative calculator

### What is the derivative of zero?

In calculus, differentiation is the process of finding the derivative of a function. We know that the differentiation of any constant value is zero. Thus, the derivative of 0 is 0.

### What are the different methods to find the derivatives?

The different methods to find the derivative of a function are as follows:

- Calculating the derivative by definition
- Product Rule
- Chain Rule
- Implicit Differentiation
- Quotient Rule

### Define the first and second-order derivative.

Graphically, the first-order derivative defines the slope of the given function at a point. The second-order derivative explains how the slope changes over the independent variable for the given function.