How do you differentiate $e^tanx$ ?

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Answer 1 · 2018-03-07T19:12:36

$e^(tanx)*sec^2x$

$(1)d/(dx)(e^x)=e^x$
$(2)d/(dx)(tanx)=sec^2x$
So,
$y=e^tanxrArr(dy)/(dx)=e^(tanx)*d/(dx)(tanx),Apply(1)$
$=>(dy)/(dx)=e^(tanx)*sec^2x,Apply(2)$

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