Find dydx by implicit differentiation xy2103x24Solutionxy2

Find dy/dx by implicit differentiation
(x+y^2)^10=3x^2+4

x+y^2 = (3x^2+4)^(-10)

y²=(3x²+4)^-10-x

differentiating wrt x

2y(dy/dx)=-10*(3x²+4)^-11*(6x)-1

dy/dx=(1/2y)*(-60*x*(3x²+4)^-11-1)

Find dy/dx by implicit differentiation (x+y^2)^10=3x^2+4Solutionx+y^2 = (3x^2+4)^(-10) y2=(3x2+4)-10-x differentiating wrt x 2y(dy/dx)=-10*(3x2+4)-11*(6x)-1 dy/

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