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Find D Y D X , If X 3 + Y 2 + X Y = 10 - Mathematics and Statistics

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Question

Find `(dy)/(dx) , "If"   x^3 + y^2 + xy = 10`

Sum

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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2016-2017 (March)

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