Question

find the second order derivative of log x with steps?

Answer 1

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y = log x

$\frac{dy}{dx} = \frac{1}{x}$

now it's double derivative

$\frac{d {}^{2}y }{d {}^{2} x} = \frac{d(x {}^{ - 1}) }{x} \times \frac{x}{dx}$

$= - \frac{1}{x {}^{2} }$