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Question
Find `(dy)/(dx) , "If" x^3 + y^2 + xy = 10`
Sum
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Solution
`x^3 + y^2 + xy = 10`
Differentiate w.r.t. x
`3x^2 + 2y(dy)/(dx) + x(dy)/(dx) + y = 0`
`(2y + x)(dy)/(dx) = -(3x^2 + y)`
`(dy)/(dx) = (-(3x^2 + y))/(2y + x)`
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