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If-x-2-y-3-3xy-0-Show-that-d-2-y-dx-2-2xy-y-2-x-2-




Question Number 17734 by tawa tawa last updated on 09/Jul/17
If  x^2  + y^3  − 3xy = 0,  Show that,  (d^2 y/dx^2 ) = ((− 2xy)/(y^2  − x^2 ))
$$\mathrm{If}\:\:\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{3}} \:−\:\mathrm{3xy}\:=\:\mathrm{0}, \\ $$$$\mathrm{Show}\:\mathrm{that},\:\:\frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} }\:=\:\frac{−\:\mathrm{2xy}}{\mathrm{y}^{\mathrm{2}} \:−\:\mathrm{x}^{\mathrm{2}} } \\ $$

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