Let f be the function defined by f(x) = e cos(x) (a) Find the average rate of change on the interval 0 ≤ x ≤ π. 3π (b) What is the slope of the tangent of the graph at x = 2 -? (c) Find the absolute minimum value of f on the interval 0 ≤ x ≤ 27. Justify your answer.

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.
Chapter5: Graphs And The Derivative
Section5.CR: Chapter 5 Review
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Let f be the function defined by ƒ(x) = e♬ cos(x)
(a) Find the average rate of change on the interval 0 ≤ x ≤ π.
3π
(b) What is the slope of the tangent of the graph at x =
2
-?
(c) Find the absolute minimum value of f on the interval 0 ≤ x ≤ 2π. Justify your answer.
Transcribed Image Text:CALCULATOR NOT ALLOWED Let f be the function defined by ƒ(x) = e♬ cos(x) (a) Find the average rate of change on the interval 0 ≤ x ≤ π. 3π (b) What is the slope of the tangent of the graph at x = 2 -? (c) Find the absolute minimum value of f on the interval 0 ≤ x ≤ 2π. Justify your answer.
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