Calculus
posted by Sarah .
Please help me with this problem:
Find the number c that satisfies the conclusion of the Mean Value Theorem.
f(x) = x/(x + 4)
[1, 8]
i got to f'(x)= 4/(x+4)^2=(1/60).

I do not see a number c defined in your f(x) equation, so don't know how to solve for it.
Is it the number between 1 and 8 for which f'(c) = [f(8)  f(1)]/(81) ?
The mean value theorem states that such a number c exists, as I recall.