AP

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

If ysec⁡x+tan⁡x+x2y=0y \sec x + \tan x + x^2 y = 0 , then dydx=\frac{dy}{dx} = (a) 2xy+sec⁡2x+ysec⁡xtan⁡xx2+sec⁡x\frac{2xy + \sec^2 x + y \sec x \tan x}{x^2 + \sec x} (b) −2xy+sec⁡2x+sec⁡xtan⁡xx2+sec⁡x-\frac{2xy + \sec^2 x + \sec x \tan x}{x^2 + \sec x} (c) −2xy+sec⁡2x+ysec⁡xtan⁡xx2+sec⁡x-\frac{2xy + \sec^2 x + y \sec x \tan x}{x^2 + \sec x} (d) None of these

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