# What are the critical values, if any, of # f(x)=cscxtanx-sqrt(xcosx) in [0,2pi]#?

##### 1 Answer

#### Explanation:

Critical values are points where *is* defined.

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First of all,

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First, we must find points where

#f'(x) = secxtanx-(cosx-xsinx)/(2sqrt(xcosx))=0#

Graphing this function shows that the only solution on the interval

Next, we find points where

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Therefore, our critical points are the endpoints