asked 44.2k views
1 vote
Find the derivative of the function. f(x) = (tan5(x) + 2)^2

asked
User MadMurf
by
7.7k points

1 Answer

2 votes


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!

answered
User Mrchief
by
7.4k points
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