Question

How to determine instantaneous rate of change with pi

Answer 1

The instantaneous rate of change of the function is 5/π

How to determine the instantaneous rate of change?

The function is given as

$f(x) =\cos(x - \pi) + 4$

Where

$x = \pi$

Calculate f(π) as follows

$f(\pi) =\cos(\pi - \pi) + 4$

This gives

$f(\pi) =\cos(0) + 4$

Evaluate the expression

$f(\pi) =5$

The instantaneous rate of change is then calculated as;

$f'(x) = \frac{f(\pi)}{\pi}$

This gives

$f'(x) = \frac{5}{\pi}$

Hence, the instantaneous rate of change of the function is 5/π

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