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

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).

anonymous · Answer

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

anonymous · Answer

because that is just $x-5$

whpalmer4 · Answer

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

anonymous · Answer

it is raised to the -2

whpalmer4 · Answer

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

anonymous · Answer

my bad...sorry for not being clear

whpalmer4 · Answer

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 :-)

anonymous · Answer

did you find the derivative?

anonymous · Answer

i belive the derivative is |dw:1371518374836:dw|