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$13.[-/1$ Points$]$

Consider the function on the interval $(0,2).$

$f(x)=sinxcosx$

$($a$)$ Find the open intervals on which the function is increasing or dec

increasing $$

decreasing $$

$($b$)$ Apply the First Derivative Test to identify the relative extrema.

relative maximum $,(x,y)=$

relative minimum $,(x,y)=()$

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