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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int (x^{2} - 2 x + 4) d x

(2 x^{2} - y e^{x}) d x - e^{x} d y = 0

\int \frac{ln ( t )}{t} d t

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

\frac{d}{d x} (x^{3} + 10 x^{2} + 25 x)

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