How do you differentiate $y = x tan (x)$ $y=xtan(x)$ ?

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How do you differentiate $y = x tan (x)$ $y=xtan(x)$ ?

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Answer 1 · 2015-04-21T22:08:21

I would use the Product Rule remembering that the derivative of $tan (x) = \frac{sin (x)}{cos (x)}$ $tan(x)=sin(x)/cos(x)$ is $\frac{1}{{cos}^{2} (x)}$ $1/cos^2(x)$ ;
So:
$y'=1*tan(x)+x/cos^2(x)$

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How do you differentiate $y = x tan (x)$ $y=xtan(x)$ ?

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