Answer
$y'=sec(x)$
Work Step by Step
$y= ln|sec(x)+tan(x)|$
$y’=\frac{(sec(x)tan(x))+(sec(x)^2}{sec(x)+tan(x)}$
$=\frac{sec(x)(sec(x)+tan(x))}{sec(x)+tan(x)}$
$=sec(x)$
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