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If y = log |3x|, x ≠ 0, find dy/dx.

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If y = log |3x|, x ≠ 0, find \(\cfrac{dy}{d\mathrm x} \).

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y = log |3x|

So, \(\cfrac{dy}{d\mathrm x}=\cfrac{1}{3\text x}.3 \)

\(=\cfrac{1}{\text x},\text x \neq0\)

i.e, \(\cfrac{dy}{d\mathrm x}=\cfrac{1}{\text x},\text x\neq0 \)

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