Average rate of change calculator symbolab

Instantaneous Rate of Change Calculator is a free online tool that displays the rate of change (first-order differential equation) for the given function. BYJU’S 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