# Mean Value Theorem

1. Dec 11, 2008

### susan__t

1. The problem statement, all variables and given/known data
Suppose that 3 is < and equal than f'(x) which is also < and equal to 5 for all vales of x. Show that 18< or equal to f(8) -f(2) < or equal to 30.

2. Relevant equations
Mean Value theorem

3. The attempt at a solution
I have no clue where to start or which values associate with the values of those of MVT

2. Dec 12, 2008

### gabbagabbahey

This one looks pretty straightforward: What does the mean value theorem say about $$\frac{f(8)-f(2)}{8-2}$$?

3. Dec 12, 2008

### Staff: Mentor

Start with the MVT, couched in terms of your problem. It says that for some c, with c in [?, ?], f'(c) = ?. Then, what other information are you given?

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