Consider the function on the interval (0, 21). f(x) = sin(x) cos(x) + 8 (a) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Apply the First Derivative Test to identify all relative extrema. relative maxima (x, y) = (smaller x-value) (х, у) 3D (larger x-value) relative minima (х, у) %3D | (smaller x-value) (х, у) %3 (larger x-value)

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
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Consider the function on the interval (0, 27).
f(x) = sin(x) cos(x) + 8
(a) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.)
increasing
decreasing
(b) Apply the First Derivative Test to identify all relative extrema.
relative maxima (x, y) =
(smaller x-value)
(х, у) %3D
(larger x-value)
relative minima
(x, y) =
(smaller x-value)
(х, у) %3
(larger x-value)
Transcribed Image Text:Consider the function on the interval (0, 27). f(x) = sin(x) cos(x) + 8 (a) Find the open interval(s) on which the function is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Apply the First Derivative Test to identify all relative extrema. relative maxima (x, y) = (smaller x-value) (х, у) %3D (larger x-value) relative minima (x, y) = (smaller x-value) (х, у) %3 (larger x-value)
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