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July 31, 2015

Homework Help: calculus

Posted by Shawn on Tuesday, November 1, 2011 at 10:40pm.

Given f(x)=sin(x)-2cos(x) on the interval [0,2pi].

a) Determine where the function is increasing and decreasing.
b) Determine where the function is concave up and concave down.
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I know:

f′(x)=cos(x)+2sin(x)
f″(x)=-sin(x)+2cos(x)

Other than that^^ I have no clue how to get the intervals where the function is increasing/decreasing and where it's concave up/concave down.

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