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

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

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

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

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

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

Solution steps

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

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}

(x, y) \to (2, 3) lim (x + y^{2})

t an g e n t f (x) = 2 x^{3} + 42 x^{2} + 270 x + 4

\int sin (x) sec^{8} (x) d x

\int (\frac{2 x}{x ^{2} + 5}) d x

\int \frac{1}{1 + 3 x} d x

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