If y = |logex|, find \(\frac{d^2y}{dx^2}\).

1.	If y = \|logex\|, find \(\frac{d^2y}{dx^2}\).
Answer» Given: y = \|log_ex\| \(\forall x>0\) y = log_e x \(\frac{dy}{dx}=\frac{1}{x}=x^{-1}\) \(\frac{d^2y}{dx^2}=(-1)x^{-2}\)

Answer»

Given:

y = |log_ex| \(\forall x>0\)

y = log_e x

\(\frac{dy}{dx}=\frac{1}{x}=x^{-1}\)

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

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