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What is the derivative of #f(x) = 2 tan^(2)x-sec^(2)x#?

1 Answer

Sep 18, 2016

#2secx(2secx-tanx)#

Explanation:

#(df)/dx=d/dx(2tan^2x-sec^2x)=2d/dx(tan^2x)-d/dx(sec^2x)=#

#4d/dx(tanx)-2d/dx(secx)=4sec^2x-2secxtanx=#

#=2secx(2secx-tanx)#

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