Mean value theorem

  • Thread starter Rasine
  • Start date
  • #1
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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?
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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You seem to have computed 45-30=5?!
 
  • #3
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oohhh my! thank you so much! i didnt see that !
 

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