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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\frac{d}{d x} ((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}

\frac{\partial}{\partial x} ((90 - x)^{2} \cdot (x + 2))

\int \frac{3}{2 x 9 x ^{2} - 1} d x

f (x) = 1 4^{x}

\int_{1}^{4} \frac{1}{x - 4} d x

4 t - 10

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