Derivative calculator is a tool for calculating a particular order derivative of a given function. Protonstalk *online derivative calculator* tool helps you find a functions’ first to tenth order derivatives in a matter of seconds and makes your work easier and faster.

Index

## About Derivative Calculator

### Inputs

Following are the inputs of the calculator

- The order of derivative to be calculated.
- The function for which we need to calculate the derivative.

### Steps

Usage of Derivative Calculator with steps is as follows

- Enter the function into the input field and select the order of derivatives.
- Now, click the “Calculate” button to obtain the derivative.
- In the new window, the derivative of the given function will be displayed.

### Outputs

Following are the outputs of the calculator

- The derivative representation and the derivative of the function

## What is the Derivative of a Function?

The derivative is a fundamental concept in calculus. Finding the derivative is called differentiation A function’s derivative describes the rate of change of that function at a given point.

We represent a derivative function as:

dx denotes an infinitesimal change in the variable “x.” Thus,** dy/dx** represents the derivative of the “y” with respect to the variable “x.”

## FAQs

**What are first-order and second-order derivatives?**

Differentiating a function once gives its first-order derivative whereas differentiating twice gives its second-order derivative.

Differentiating a function once gives its first-order derivative whereas differentiating twice gives its second-order derivative.

In terms of the graph, the slope of the given function at a point is represented graphically by the first-order derivative. The second-order derivative explains how the slope of the given function changes over the independent variable.

**What is the derivative of zero?**

In differentiation, we know the basic rule that the derivative of any constant is zero, so, obviously, the derivative of zero is also zero itself.

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