What is the derivative of (ln(6x)^2) ?

The derivative of (ln(6x)^2) is (2ln(6x))/x

What is the first derivative of (ln(6x)^2) ?

The first derivative of (ln(6x)^2) is (2ln(6x))/x

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\frac{d}{d x} ((ln (6 x))^{2})

\frac{2 ln ( 6 x )}{x}

Solution steps

\frac{d}{d x} ((ln (6 x))^{2})

Apply the chain rule:

2 ln (6 x) \frac{d}{d x} (ln (6 x))

= 2 ln (6 x) \frac{d}{d x} (ln (6 x))

\frac{d}{d x} (ln (6 x)) = \frac{1}{x}

= 2 ln (6 x) \frac{1}{x}

Simplify

2 ln (6 x) \frac{1}{x} : \frac{2 ln ( 6 x )}{x}

= \frac{2 ln ( 6 x )}{x}

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

f (t) = \frac{2 t}{2 + t}

- cos (t)

x^{3} - x

\int (227 - x) - (23 + 0.7 x) d x

What is the derivative of (ln(6x)^2) ?
The derivative of (ln(6x)^2) is (2ln(6x))/x
What is the first derivative of (ln(6x)^2) ?
The first derivative of (ln(6x)^2) is (2ln(6x))/x