Find the derivative of the function. f(x) = (tan5(x) + 2)^2

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asked Dec 9, 2023 44.2k views

1 vote

Find the derivative of the function. f(x) = (tan5(x) + 2)^2

Mathematics
college

MadMurf asked

by MadMurf

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$f(x) = (tan(5x)+2)^2\\\\f'(x) = 2(tan(5x) +2)*(d)/(dx)(tan(5x)+2) = 2(tan(5x)+2)*5sec^2(5x)\\ =(2tan(5x)+4)*5sec^2(5x)\\ =10tan(5x)*sec^2(5x)+20sec^2(5x)$

Hope that helps!

Mrchief answered Dec 16, 2023

by Mrchief

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