a) Find de | () (x 2 + 259
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a) Find de | () (x 2 + 259

Railway Exams
Maths
Solution
101
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( left(x^{2}+y^{2}right)^{2}=x y ) ( 2left(x^{2}+y^{2}right) cdot(2 x+2 y+y)=y+x frac{d y}{d x} ) ( 4left[x^{2}+y^{2}right] cdotleft[x+y frac{2 y}{2 x}right]=y+xleft[frac{d y}{8 x}right] ) ( 4 xleft[x^{2}+y^{2}right]+4 yleft(x^{2}+y^{2}right) frac{d y}{d x}=y+x frac{d y}{d x} ) ( frac{yleft(x^{2}+y^{2}right]-y}{x-4 yleft[x^{2}+y^{2}right]}=frac{d y}{d x} )
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