 # Instantaneous Rate of Change Calculator

Instantaneous Rate of Change Calculator is a free online tool that displays the rate of change (first-order differential equation) for the given function. CoolGyan online instantaneous rate of change calculator tool makes the calculation faster and it displays the rate of change at a specific point in a fraction of seconds.

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

The procedure to use the instantaneous rate of change calculator is as follows:
Step 1:Enter the function and the specific point in the respective input field
Step 2: Now click the button ”Find Instantaneous Rate of Change” to get the output
Step 3: Finally, the rate of change at a specific point will be displayed in the new window

### What is Meant by Instantaneous Rate of Change?

In Mathematics, the instantaneous rate of change is defined as the change in the rate at a particular point. It is the same as the rate of change in the derivative value of a function at a specific point. If the graph for the instantaneous rate of change at a specific point is drawn, the obtained graph is the same as the tangent line slope.

### Example

Question:
Find the instantaneous rate of change for the function y= 3x2– 2x at x = 2
Solution:
Given Function: y= 3x2 – 2x
The instantaneous rate of change is:
dy/dx = 6x-2
When x = 2, it becomes
= 6(2) – 2
=10
Hence, the instantaneous rate of change is 10 for the given function when x=2