A function f is defined on the interval [0,4], and its derivative is f'(x)=e^sinx - 2cos3x On what interval is f increasing? At what values of x does f have a local maxima? How many points of inflection does the graph of f have?

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A function f is defined on the interval [0,4], and its derivative is f'(x)=e^sinx - 2cos3x On what interval is f increasing? At what values of x does f have a local maxima? How many points of inflection does the graph of f have?

Mathematics
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\[f'(x)=e ^{sinx} - 2\cos3x\]
when is \[f'(x)>0\]solve
\[e^{\sin x}>2\cos 3x\] \[\sin x>\ln(2\cos 3x)\]

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Okay. O.o
|dw:1351732431643:dw|
Inequalities? :3 Is there a way you can do it without that? /me never learned about inequalities
@mahmit2012 Alright. :/
@mahmit2012 is giving you a good method
Critical points?:3
@mahmit2012 How would I find those points?
You should find the critical points with Matlab or other software .
Alright. And that will show me the ranges? :) Thanks!

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