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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derivative of

(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 - e^{- 3 x} (x - 3) (x - 6) d x

(x + 1) \frac{d y}{d x} - x + 4 y = 0

y^{^{'}} - y = 8 t e^{2 t}, y (0) = 1

\int_{0}^{0.5} 8000 x d x

n \to \infty lim (\frac{n}{2 n})

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