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

1 Answer

Feb 26, 2017

#2tan x sec^4 x +2sec^2 x tan^3 x#

Explanation:

Using product rule, the derivative would be

#sec^2 x d/dx (tan^2 x) +tan^2 x d/dx (sec^2 x)#

=#sec^2 x (2 tan x sec^2 x) + tan^2 x (2 secx secx tan x)#

=#2tan x sec^4 x +2sec^2 x tan^3 x#

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