What is the derivative of (ln(3x))^2 ?

The derivative of (ln(3x))^2 is (2ln(3x))/x

What is the first derivative of (ln(3x))^2 ?

The first derivative of (ln(3x))^2 is (2ln(3x))/x

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derivative of

(ln (3 x))^{2}

\frac{2 ln ( 3 x )}{x}

Solution steps

\frac{d}{d x} ((ln (3 x))^{2})

Apply the chain rule:

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

= 2 ln (3 x) \frac{d}{d x} (ln (3 x))

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

= 2 ln (3 x) \frac{1}{x}

Simplify

2 ln (3 x) \frac{1}{x} : \frac{2 ln ( 3 x )}{x}

= \frac{2 ln ( 3 x )}{x}

\int_{- 1}^{3} x^{3} + 2 x - 5 d x

\frac{\partial}{\partial x} (1 x + 14 y)

\frac{d}{d x} (2 + x^{4})

\frac{d}{d x} (- 7 x^{9})

\frac{1}{7 s ^{2} + 37.4 s + 19990}

What is the derivative of (ln(3x))^2 ?
The derivative of (ln(3x))^2 is (2ln(3x))/x
What is the first derivative of (ln(3x))^2 ?
The first derivative of (ln(3x))^2 is (2ln(3x))/x