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Question

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michele_laino · Answer

Hint:
please apply the $mean\;value\;theorem$ or the $theorem\;of\;Lagrange$

mathmale · Answer

At this level of calculus, just focus on applying the Mean Value Theorem.  Have you read about this Theorem?  Have you seen examples of its application?  

If y ou'll look up the M. Value Thm., you should be able to learn how to complete the sentence you posted in your problem statement.

mathmale · Answer

Hint:  that problem statement has to do with two different expressions for "slope" being equal to one another.

chris215 · Answer

Would I use  f'(c)=f(b)- f(a)/b-a ?

ganeshie8 · Answer

Yes

chris215 · Answer

ok I'm not too sure how I would apply the question to that though

mathmale · Answer

Your b=4 and your a=-1.  Be certain you understand where those values come from.

You are given the function f(x).  Evaluate this function at both a and b.

Write the results as f(-1) =                and f(4) =             .

chris215 · Answer

I got f '(c) = 0

anonymous · Answer

do u need help r u still confused

chris215 · Answer

idk if that answer is right or not

chris215 · Answer

I plugged in b=4 and a=-1 and got 0

mathmale · Answer

You are given the following:  a=-1, b=4, f(a)=-3 and f(b)=12.

The Mean Value Theorem equation follows:$$f '(c)=\frac{ f(b)-f(a) }{ b-a }$$

mathmale · Answer

Please substitute all of these givens into the right side of the MVT equation, and calculate the value of f '(c) that way.