What is the derivative of f(x)=ln(3x) ?

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

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

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

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derivative of

f (x) = 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 \frac{1}{( 4 - x ^{2} )} d x

\int (1 - x)^{\frac{1}{2}} d x

\int 9 x (9 - x^{- 4}) d x

x \to 3 - lim (\frac{x - 3}{x ^{2} - 9})

y = (x^{3} - 25 x)^{12}, (5, 0)

What is the derivative of f(x)=ln(3x) ?
The derivative of f(x)=ln(3x) is 1/x
What is the first derivative of f(x)=ln(3x) ?
The first derivative of f(x)=ln(3x) is 1/x