2sinx+3cosx, on (−π,π)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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***The answer cannot be express in tan but soley integers & pi values according to the feedback from the math software***

 

f(x)=2sinx+3cosx, on (−π,π)

a) Determine the intervals on which f is concave up and concave down.
f is concave up on:
f is concave down on:
b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x,y)).

c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates.
Relative maxima at:
Relative minima at:
d) Find the x-value(s) where f′(x) has a relative maximum or minimum.
f′ has relative maxima at:
f′ has relative minima at:

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