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Calculating the derivative of a function of the form $a \\ln(bx)$ using a table of derivatives.

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Calculate the derivative of $y=\\simplify[unitFactor]{{a}*ln({b}x)}.$

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From the Table of Derivatives we see that a function of the form \\[ f(x)=a \\ln(kx) \\] has a derivative \\[\\frac{df}{dx}=\\frac{a}{x}.\\]

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Therefore, the function \\[ \\simplify[unitFactor]{y={a}ln({b}x)}\\] has a derivative \\[\\frac{dy}{dx} = \\frac{\\var{a}}{x}.\\]

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$\\frac{dy}{dx}=$[[0]]

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