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

1 Answer

Jun 6, 2016

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

Explanation:

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)#

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