If , then…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

If y=xe3xsec⁡xy = x e^{3x}\sec x, then y′y' equals (a) e3xsec⁡x(1+3x+tan⁡x)e^{3x}\sec x\bigl(1 + 3x + \tan x\bigr) (b) e3xsec⁡x(1+3x+xtan⁡x)e^{3x}\sec x\bigl(1 + 3x + x\tan x\bigr) (c) e3xsec⁡x(1+3x−xtan⁡x)e^{3x}\sec x\bigl(1 + 3x - x\tan x\bigr) (d) e3xsec⁡x(1+3x+xsec⁡x)e^{3x}\sec x\bigl(1 + 3x + x\sec x\bigr)

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