Question

Let
f(x) = (x − 3)−2.
Find all values of c in (1, 4) such that
f(4) − f(1) = f'(c)(4 − 1).

Answer 1

a bit confusing
does it really say
\[f(x)=(x-3)-2\]?

Answer 2

because that is just \(x-5\)

Answer 3

I'm guessing it is \(f(x) = (x-3)^{-2}\)

Answer 4

it is raised to the -2

Answer 5

@alexthomas so how about putting in a ^ so we know that? pretend we can't actually see your book or paper or screen :-)

Answer 6

my bad...sorry for not being clear

Answer 7

not the first it has happened on openstudy, certainly won't be the last time, but you can try to make it the last time you do it :-)

Answer 8

did you find the derivative?

Answer 9

i belive the derivative is