If , then…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

If y=sec⁡x−tan⁡xsec⁡x+tan⁡xy=\dfrac{\sec x-\tan x}{\sec x+\tan x}, then dydx\dfrac{dy}{dx} equals (1) 2sec⁡x(sec⁡x−tan⁡x)2\sec x(\sec x-\tan x) (2) −2sec⁡x(sec⁡x−tan⁡x)2-2\sec x(\sec x-\tan x)^2 (3) 2sec⁡x(sec⁡x+tan⁡x)22\sec x(\sec x+\tan x)^2 (4) −2sec⁡x(sec⁡x+tan⁡x)2-2\sec x(\sec x+\tan x)^2

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