# Mean value theorem

1. Mar 1, 2007

### Rasine

Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then find all numbers that satisfy the conclusion of the Mean Value Theorem.

f(x)=3x^2+6x+7 on [-2,3]

so f(3)-f(-2)=f'(x)(3+2)

i get 52-7=(6x+6)(5)

then 45=30x+30

then 5=30x

and x=1/6

where am i going wrong?

2. Mar 1, 2007

### Dick

You seem to have computed 45-30=5?!

3. Mar 1, 2007

### Rasine

oohhh my! thank you so much! i didnt see that !