What is the derivative of (ln(5x))^2 ?

The derivative of (ln(5x))^2 is (2ln(5x))/x

What is the first derivative of (ln(5x))^2 ?

The first derivative of (ln(5x))^2 is (2ln(5x))/x

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derivative of

(ln (5 x))^{2}

\frac{2 ln ( 5 x )}{x}

Solution steps

\frac{d}{d x} ((ln (5 x))^{2})

Apply the chain rule:

2 ln (5 x) \frac{d}{d x} (ln (5 x))

= 2 ln (5 x) \frac{d}{d x} (ln (5 x))

\frac{d}{d x} (ln (5 x)) = \frac{1}{x}

= 2 ln (5 x) \frac{1}{x}

Simplify

2 ln (5 x) \frac{1}{x} : \frac{2 ln ( 5 x )}{x}

= \frac{2 ln ( 5 x )}{x}

\int x - \frac{2}{x} d x

\frac{\partial}{\partial x} (5 x^{2})

\int \frac{x}{6 - x ^{2}} d x

\frac{\partial}{\partial x} (y e^{x^{2}})

\int \frac{x + 4}{x ^{2} + 5 x - 6} d x

What is the derivative of (ln(5x))^2 ?
The derivative of (ln(5x))^2 is (2ln(5x))/x
What is the first derivative of (ln(5x))^2 ?
The first derivative of (ln(5x))^2 is (2ln(5x))/x