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Basic Differentiation Rule

Find d2 y/d x...

Question

Find $\frac{d^{2} y}{d x^{2}}$ if $y = e^{n x}$

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Solution

$y = e^{n x} \frac{d y}{d x} = \frac{d e^{n x}}{d x} = n e^{n x} \frac{d^{2} y}{d x^{2}} = \frac{d}{d x} (\frac{d y}{d x}) = n^{2} e^{n x}$

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