Question

7 Find dy /dx at XT dyd atxi 22 + 5x +4-50 2 TE Find that A = {0,1} and B A x B and BxA. Ax B F B xA 50-15 Also shows

Defence Exams

Maths

Solution

163

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sols ( x^{3}-2 x^{2} y^{2}+5 x+y-5=0 ) ( 3 x^{2}-2left(2 x^{2} y frac{d y}{d x}+2 y^{2} xright)+5+frac{d y}{d x}=0 ) ( 3 x^{2}-4 x^{2} y frac{d y}{d x}-4 y^{2} x+5+frac{d y}{d x}=0 ) ( therefore quad frac{d y}{d x}left(1-4 x^{2} yright)=4 x y^{2}-3 x^{2}-5 ) ( frac{d y}{d x}=frac{4 x y^{2}-3 x^{2}-5}{1-4 x^{2} y}=30- ) ( frac{d y}{d x}=frac{4-3-5}{1-4}=frac{+4}{3}=left(frac{4}{3}right) ) is two ( x=y=1 )