# Instantaneous Rate of Change Calculator

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## What is the Instantaneous Rate of Change Calculator?

Instantaneous Rate of Change Calculator is a free online tool that helps students to calculate the rate of change for a given function. Instantaneous Rate of Change Calculator (a free online tool) makes your calculation fast and easy. It helps you to calculate the rate of change at a specific point in a very few minutes. This calculator can save time and make your calculation faster.

## How to Use the Instantaneous Rate of Change Calculator?

The explanation of “How to use the instantaneous rate of change caculator” is given below. There are three steps to use this calculator:

Step 1: In the given boxes, enter the function with respect to x and then put the value of x in the below-given box.

Step 2: Now click on the button called “Find Instantaneous Rate of Change” to get the final output.

Step 3: Now you can see the final rate of change at a specific point in a new window.

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## How to Find Instantaneous Rate of Change?

Mathematicians described the instantaneous rate of changes as the change in the rate at a specific point. It can also be defined as the rate of change in the derivative of the function at a particular point.

Now let’s find out “how to find the instantaneous rate of change?”

Solved Example:

Find the instantaneous rate of change for the function y = 5x2 at x = 3

Solution:

Given Function: y = 5x2

the instantaneous rate of change is dy / dx = 10x

When x = 3,

Instataneous rate of change = 10(3)

= 30

Therefore, the instantaneous rate of change is 30

In a similar way, you can try the calculator to find the instantaneous rate of change for

• y = f(x) = 5x3 + 2x at x = 2
• y = f(x) = 8x + 5 at x = 6
• y = f(x) = 2x + 3x at x = 3
• y = f(x) = 6x + 5x at x = 5

Hope you find this Instantaneous Rate of Change Calculator helpful for calculating the value of the rate of change of a given function at a particular point.