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Consider the function f(x) = (e^x)*cos(x) with domain \(\mathbb{R}\). Find the range of x values in [0, 2pi] for which f is increasing, decreasing, concave up, and inflection points using interval notation and a list of x values for inflection points.

 

I know the roots are x = 0, pi/4. and 5pi/4

 

Can someone please answer? Thanks!

 Nov 11, 2020
 #1
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The following graphs should help.  You will notice that x = 0, pi/4 and 5pi/4 are not roots!

 

 Nov 11, 2020
 #2
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Oh oops, I see. Do you know how I could get the graph within the range of [0, 2pi]? Thanks!

yeliah  Nov 11, 2020
 #3
avatar+31320 
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The first graph has the x values within the range 0 to 2pi.

Alan  Nov 11, 2020

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