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Implicit and Logarithmic

Calculus Level pending

Given \({ x }^{ y }={ y }^{ x }\), find \(\dfrac{dy}{dx} \).

\[ \frac { y(x\ln y-y) }{ x(y\ln x-x) } \] Does not exist \[ \frac { { x }^{ 2 }\ln y-xy }{ { y }^{ 2 }\ln x-xy } \]

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by Jake Vartuli

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