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`log (xy) =x^(2)+y^(2) ` का x के सापेक्ष अवकल गुणांक ज्ञात कीजिए|

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दिया है ` " "log (xy) =x^(2) +y^(2)`
` rArr " "log x + log y =x^(2) +y^(2)`
दोनों पक्षों का x के सापेक्ष अवकलन करने पर
` " "(1)/(x) +(1)/(y) *(dy)/(dx) =2x +2y (dy)/(dx) `
`rArr " "(dy)/(dx) ((1)/(y) -2y) =2x -(1)/(x) `
` rArr" " (dy)/(dx) =(y(2x^(2)-1))/(x(1-2y^(2)))`

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