Question

Given f '(x) = (x − 4)(4 − 2x), find the x-coordinate for the relative maximum on the graph of f(x).

4
3
2
None of these

Answer 1

@jim_thompson5910

Answer 2

2?

Answer 3

look at the graph of y = (x-4)(4-2x)

find the roots and see how the graph passes through those roots

Answer 4

It passes at 2 and 4, but is increasing at 2 so would it be 2?

Answer 5

go back to the previous post where I mentioned the `first derivative test`

Answer 6

Oh, so 4?

Answer 7

yes because f ' changes from positive to negative as you pass through x = 4

Answer 8

Therefore making it a max? Right?

Answer 9

yep

Answer 10

Thank you! Again, I appreciate the help. cx

Answer 11

you're welcome