Second Derivative With Implicit Differentiation

Question

Let $$y$$ be a differentiable function of $$x$$ such that $$x^2 y^3 + x y = 10$$. Which of the following gives $$\frac{d^2y}{dx^2}$$ in terms of $$x$$, $$y$$, and $$y'$$?

Accepted Answer

-(6x^2 y y'^2 + 12x y^2 y' + 2y' + 2y^3)/(3x^2 y^2 + x)

Answer

-(2y'^2 + 2y')/(6x y^2 + 1)

Answer

-(3y'^2 + y')/(6x y^2 + 1)

Answer

-(3y'^2 + 2y')/(6x y^2 + 1)

Second Derivative With Implicit Differentiation

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