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Mean value theorem

  1. Mar 1, 2007 #1
    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. jcsd
  3. Mar 1, 2007 #2


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    You seem to have computed 45-30=5?!
  4. Mar 1, 2007 #3
    oohhh my! thank you so much! i didnt see that !
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