Question: Equation 6 is a formula for the derivative dy/dx of a function defined implicitly by an equation F(x, y) = 0, provided that F is

Equation 6 is a formula for the derivative dy/dx of a function defined implicitly by an equation F(x, y) = 0, provided that F is differentiable and F_y ≠ 0. Prove that if F has continuous second derivatives, then a formula for the second derivative of y is F„F; – 2F„F,F,+ F„F? d²y F} dx?

FF; 2FF,F,+ FF? dy F} dx?

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