Question

x2/3+y2/3=a2/3 find dy/dx

Answer 1

$\frac{2}{3} \times {x}^{\frac{2}{3} -1 } + \frac{2}{3} y {}^ { \frac{2}{3} - 1} \frac{dy}{dx} = 0 \\ \frac{2}{3} x {}^{ \frac{ - 1}{3} } + \frac{2}{3} y {}^{ \frac{ - 1}{3} } \frac{dy}{dx} = 0 \\ x {}^{ \frac{ - 1}{3} } + y {}^{ \frac{ - 1}{3} } \frac{dy}{dx} = 0 \\ y {}^{ \frac{ - 1}{3} } \frac{dy}{dx } = - x {}^{ \frac{ - 1}{3 } } \\ \frac{dy}{dx } = \frac{ - x { \ }^{ \frac{ - 1}{3} } }{y {}^{ \frac{ - 1}{3} } } \\ \frac{dy}{dx } = \frac{ - y {}^{ \frac{1}{3} } }{x {}^{ \frac{1}{3} } }$
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