What is the derivative of ln(3x) ?

The derivative of ln(3x) is 1/x

What is the first derivative of ln(3x) ?

The first derivative of ln(3x) is 1/x

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derivative of

ln (3 x)

\frac{1}{x}

Solution steps

\frac{d}{d x} (ln (3 x))

Apply the chain rule:

\frac{1}{3 x} \frac{d}{d x} (3 x)

= \frac{1}{3 x} \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= \frac{1}{3 x} \cdot 3

Simplify

\frac{1}{3 x} \cdot 3 : \frac{1}{x}

= \frac{1}{x}

\int 4 x ln (y) d x

- 3 x^{3} - 2 x^{2} - 1, at x = - 1

\frac{d}{d x} (y sin (z (x)))

(3 x)^{2 x}

\int x^{3} x^{2} - 36 d x