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Higher Order Derivatives

y=sin x find ...

Question

$y = sin x$ find $\frac{d^{2} y}{d x^{2}}$

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Solution

$y = sin x \frac{d y}{d x} = \frac{d}{d x} sin x \frac{d y}{d x} = cos x \frac{d^{2} y}{d x^{2}} = \frac{d}{d x} cos x \frac{d^{2} y}{d x^{2}} = - sin x$

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