Question

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)f(x)=36x−2x^2

Answer 1

`x =9` --- the critical point

Explanation:

Given

`f(x) =36x -2x^2`

Required

Determine the critical numbers

First, we differentiate f(x)

`f'(x) = 36 - 4x`

Set to 0 and solve for x

`36 -4x = 0`

Make 4x the subject

`4x = 36`

Solve for x

`x =36/4`

`x =9`