For the implicit relation

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

Problem

For the implicit relation xy=yxx^{y}=y^{x}, compute dydx\dfrac{dy}{dx} at the point (2,2)(2,2). (a) ln⁡2−1ln⁡2\displaystyle\frac{\ln 2-1}{\ln 2} (b) 11 (c) 00 (d) ln⁡2ln⁡2−1\displaystyle\frac{\ln 2}{\ln 2-1}

Related theory

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