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x^2/3 + y^2/3 = a^2/3
differentiating with respect to x
2/3y1/3 dy/dx = - 2/3 x ^1/3
dy/dx = (x/y)1/3
on differentiating questions 2 with respect to x
ny^n - 1 dy/dx = - nx^n - 1
dy/dx =( x/y)^n-1
differentiating questions 3 with respect to x
2x + 3ydy/dx - y - xdy/dx = 0
(2x - y )/ (x - 3y)= dy/dx
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hope it may helps you
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