What is the derivative of $tan^2 (e^x)$ ?

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Answer 1 · 2016-06-06T16:31:39

$2e^x tan(e^x)sec^2(e^x)$

Note that $tan^2(e^x) = (tan(e^x))^2$ . Then, simply use the chain rule thrice:

$d/dx tan^2(e^x) = d/dx (tan(e^x))^2 = 2 tan(e^x) * sec^2(e^x) * e^x = 2e^x tan(e^x)sec^2(e^x)$

What is the derivative of tan^2 (e^x) tan^2 (e^x)?