Question

mean value thorem question
i got 2 right and 2 wrong

Answer 1

If you draw a graph, you get a better idea of how thing look.
If you try to solve f'(x)=0, you get x=1.
Although there is a local maximum in x=1, it is not the absolute maximum on the give interval. That occurs when x=-1.
Also, the absolute minimum cannot be found by differentiation: f is not differentiable in x=0, but f(0)=0 is the absolute minimum.

Answer 2

what is f(0) or f(4) (they are equal anyway)?

f(x)=x^2-4x+9
f'(x)=2x-4
f'(x)=0: 2x-4=0
x=2

Answer 3

@sirm3d: the function has changed since my post...Dodo1 has replaced it.

Answer 4

sorry I posted the wrong question first.

Answer 5

How about f(0)=f(4)=

Answer 6

you can do that. f(0) means the value when x is replaced by 0

Answer 7

it also says 4. what does this mean

Answer 8

I got it! thank you for yout help