To find: the value of the derivative by using the Mean Value Theorem.
Answer to Problem 53E
Option A is correct.
Explanation of Solution
Given:
Concept used:
Mean Value Theorem for Derivatives:
If
Calculation:
Consider the given function,
The cosine function is continuous on
Hence the given function satisfies the Hypotheses of the Mean Value Theorem on the given interval.
Now,
And,
So, the Mean Value Theorem guarantees that there is a point
Hence option A is correct.
Chapter 4 Solutions
CALCULUS-W/XL ACCESS
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