# Instantaneous Rate Of Change Calculator

## Now, What Exactly Is A “Instantaneous Rate Of Change Calculator”?

A instantaneous rate of change calculator is a tool that helps you find the rate of change of a function at a certain point.

## Free Instantaneous Rate of Change Calculator With Steps

This is a very simple tool for Instantaneous Rate of Change Calculator. Follow the given process to use this tool.

☛ Step 1: Enter the complete equation/value in the input box i.e. across “Provide Required Input Value:”

☛ Step 2: Click “Enter Solve Button for Final Output”.

☛ Step 3: After that a window will appear with final output.

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## Formula for instantaneous rate of change

The instantaneous rate of change is the rate of change at a specific point in time. To calculate it, you need to find the derivative of the function at that point.

## Instantaneous Rate Of Change Definition

The instantaneous rate of change is the rate at which a quantity changes with respect to time at a particular instant.

## Example of instantaneous rate of change based on Formula

The instantaneous rate of change of a function at a point is given by the formula:

r(t) = (f(t + h) – f(t))/h

where t is the time at which the rate of change is being measured, h is a small number, and f(t) is the function being measured.

For example, if the function being measured is f(t) = t2 and the time at which the rate of change is being measured is t = 1, then the instantaneous rate of change is given by r(t) = (f(t + h) – f(t))/h = ((1 + h)2 – 1)/h = (1 + 2h + h2 – 1)/h = 2h + h2/h = 2 + h.