MEAN VALUE THEOREM?

Posted on 2015-10-30 06:53:00 in Math by CALVIN

(a) Find the value of c that satisfies the conclusion of the Mean Value Theorem for the function f?(x) = ln?x on the interval ?[2,?14].

(b) If f?(1) = 2 and f?'(x) ? 6 for 1 ? x ? 8 then, according to the Mean Value Theorem, what is the smallest possible value for ?f?(8)??

(c) Let ?f be the function whose graph is shown below.

Graph for Problem #3
Estimate the two values of c that satisfy the conclusion of the Mean Value Theorem on the interval ?[?1,?4].

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