Computation of the slope in an implicit function: why interchanging x and y doesn't give the same answer? – math.stackexchange.com

The question is- Find $\frac{dy}{dx}$, if $x^{\frac{2}{3}}+y^{\frac{2}{3}}=a^{\frac{2}{3}}$ So, they assumed $x$=$a\cos^3\theta$, $y$=$a\sin^3\theta$ And then, $\frac{dy}{dx}$=$\frac{\frac{dy}{d\...

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