If , then…

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

Problem

If y=log⁡x+log⁡x+log⁡x+…∞y = \sqrt{\log x + \sqrt{\log x + \sqrt{\log x + \dots \infty}}}, then dydx\frac{dy}{dx} is (a) x2y−1\frac{x}{2y-1} (b) x2y+1\frac{x}{2y+1} (c) 1x(2y−1)\frac{1}{x(2y-1)} (d) 1x(1−2y)\frac{1}{x(1-2y)}

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