What is the derivative of ln(cx) ?

The derivative of ln(cx) is 1/x

What is the first derivative of ln(cx) ?

The first derivative of ln(cx) is 1/x

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\frac{d}{d x} (ln (c x))

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (c x))

Apply the chain rule:

\frac{1}{c x} \frac{d}{d x} (c x)

= \frac{1}{c x} \frac{d}{d x} (c x)

\frac{d}{d x} (c x) = c

= \frac{1}{c x} c

Simplify

\frac{1}{c x} c : \frac{1}{x}

= \frac{1}{x}

\frac{d}{d x} (a r (x) c, (ln (x)))

\int x (x^{2} - 2) d x

\frac{1}{4 x ^{2} + 5 x}

f (x) = 8 x^{2} - x^{3}, (1, 7)