SOLUTION: Verify that the given function f satisfies the hypotheses of the MVT on the given interval [a, b]. Then find all numbers c between a and b for which
f(b) − f(a)
b −
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Question 1075782: Verify that the given function f satisfies the hypotheses of the MVT on the given interval [a, b]. Then find all numbers c between a and b for which
f(b) − f(a)
b − a
= f '(c).
(Enter your answers as a comma-separated list. If the theorem does not hold, enter DNE.)
f(x) = 2x3 − 3x2 on [0, 4]
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
So then,
So only use the positive value,
If we look at , so
and
So then,
So we have proven the MVT.
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