AP

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

Problem

If xy=yxx^y=y^x, then dydx=\frac{dy}{dx}= (a) y(xln⁡y+y)x(yln⁡x+x)\frac{y(x\ln y+y)}{x(y\ln x+x)} (b) y(xln⁡y−y)x(yln⁡x−x)\frac{y(x\ln y-y)}{x(y\ln x-x)} (c) x(xln⁡y−y)y(yln⁡x−x)\frac{x(x\ln y-y)}{y(y\ln x-x)} (d) x(xln⁡y+y)y(yln⁡x+x)\frac{x(x\ln y+y)}{y(y\ln x+x)}

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