what is the instantaneous rate of change of the function f at x = 2

The **instantaneous rate of change** of a function \( f(x) \) at a particular point \( x = a \) is given by the derivative of the function, \( f'(x) \), evaluated at that point. Mathematically, it is represented as:

\[
\text{Instantaneous rate of change of } f \text{ at } x = a = f'(a)
\]

To find the instantaneous rate of change of the function \( f \) at \( x = 2 \), we need to:

1. Determine the derivative \( f'(x) \).
2. Substitute \( x = 2 \) into the derivative to find \( f'(2) \).

Could you please provide the specific function \( f(x) \) so that we can proceed with finding its derivative and then evaluate it at \( x = 2 \)?

What is the instantaneous rate of change of the function f at x = 2?

Learn how to find the instantaneous rate of change of a function at a specific point, such as x = 2. This guide covers key calculus concepts including the derivative and its application. Suitable for high school students in Grades 11-12.

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