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in Trigonometry by (120 points)
edited by

Find the derivative of y = sec4x - tan4x.

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1 Answer

+1 vote
by (44.0k points)

y = sec4x - tan4x

\(\therefore\) \(\frac{dy}{dx}\) = 4sec3\(\frac{d}{dx}\)sec x - 4 tan3\(\frac d{dx}tanx\)

 = 4 sec4x tan x - 4 tan3x sec2x

= 4 tan x sec2x (sec2x - tan2x)

= 4 tan x sec2x

by (120 points)
Thank you for helping, much appreciated

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