Find the absolute extrema of the function f(t)=2cos(t)+sin(2t) on the interval [0,1/2] using the Extreme Value Theorem and the following steps, 1. f'(t)= 2. The value of 0≤ t≤ π/2 which makes f'(t)=0 is, to= 3. Using the value of to found in step 2., determine f(to) = 4. Determine the function value at the specified endpoints, f(0) = f(π/2) = 5. Combining steps 3. and 4., and using the Extreme Value Theorem, we have that Absolute Maximum: Absolute Minimum:

Find the absolute extrema of the function f(t)=2cos(t)+sin(2t) on the interval [0,1/2] using the Extreme Value Theorem and the following steps, 1. f'(t)= 2. The value of 0≤ t≤ π/2 which makes f'(t)=0 is, to= 3. Using the value of to found in step 2., determine f(to) = 4. Determine the function value at the specified endpoints, f(0) = f(π/2) = 5. Combining steps 3. and 4., and using the Extreme Value Theorem, we have that Absolute Maximum: Absolute Minimum:

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 35CR

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