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Question:

If $y=\log |3 x|, x \neq 0$, find $\frac{d y}{d x}$.

Solution:

$y=\log |3 x|$

So, $\frac{d y}{d x}=\frac{1}{3 x} \cdot 3$

$=\frac{1}{x}, x \neq 0$

i.e., $\frac{d y}{d x}=\frac{1}{x}, x \neq 0$ (Ans)

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