Q. 54

Find when x and y are connected by the relation given


Answer :

We have,


Use chain rule and quotient rule to get:


Chain Rule


f(x) = g(h(x))


f’(x) = g’(h(x))h’(x)


By Quotient Rule



On differentiating both the sides with respect to x, we get



By product rule:





Multiplying by y2 to both the sides, we get







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