Homework Help: Calculus

Posted by Sarah on Monday, March 8, 2010 at 12:02am.

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).

Calculus - drwls, Monday, March 8, 2010 at 8:27am
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)]/(8-1) ?

The mean value theorem states that such a number c exists, as I recall.

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