Let \( y=f(x) \) be a differentiable function \( \forall x \in R \)...

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Let \( y=f(x) \) be a differentiable function \( \forall x \in R \), then
\( \mathrm{P} \) which one of the following is always true?

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(1) \( \frac{d^{2} y}{d x^{2}}-\left(\frac{d x}{d y}\right)^{3}=0 \)
(2) \( \frac{d^{2} y}{d x^{2}}+\left(\frac{d y}{d x}\right)^{3} \frac{d^{2} x}{d y^{2}}=0 \)
(3) \( \frac{d^{2} y}{d x^{2}}-\left(\frac{d y}{d x}\right)^{3}=0 \)
(4) None of these
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