hawkfalcon
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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hawkfalcon
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\[f'(x)=e ^{sinx} - 2\cos3x\]
Jonask
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when is \[f'(x)>0\]solve
Jonask
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\[e^{\sin x}>2\cos 3x\]
\[\sin x>\ln(2\cos 3x)\]
hawkfalcon
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Okay. O.o
mahmit2012
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|dw:1351732431643:dw|
hawkfalcon
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Inequalities? :3
Is there a way you can do it without that? /me never learned about inequalities
hawkfalcon
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@mahmit2012
Alright. :/
Jonask
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@mahmit2012 is giving you a good method
hawkfalcon
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Critical points?:3
hawkfalcon
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@mahmit2012
How would I find those points?
mahmit2012
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You should find the critical points with Matlab or other software .
hawkfalcon
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Alright.
And that will show me the ranges? :) Thanks!