What is the derivative of (ln(x))^3 ?

The derivative of (ln(x))^3 is (3ln^2(x))/x

What is the first derivative of (ln(x))^3 ?

The first derivative of (ln(x))^3 is (3ln^2(x))/x

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derivative of

(ln (x))^{3}

\frac{3 ln ^{2} ( x )}{x}

Solution steps

\frac{d}{d x} ((ln (x))^{3})

Apply the chain rule:

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

= 3 (ln (x))^{2} \frac{d}{d x} (ln (x))

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

= 3 (ln (x))^{2} \frac{1}{x}

Simplify

3 ln^{2} (x) \frac{1}{x} : \frac{3 ln ^{2} ( x )}{x}

= \frac{3 ln ^{2} ( x )}{x}

\int \frac{2 t}{1 - 4 t ^{4}} d t

\frac{d x}{d t} = - x

\frac{d}{d x} (1.5)

\frac{d}{d x} (- 2 x^{2} + 3 x - 6)

f (x) = 7 e^{x} cos (x)

What is the derivative of (ln(x))^3 ?
The derivative of (ln(x))^3 is (3ln^2(x))/x
What is the first derivative of (ln(x))^3 ?
The first derivative of (ln(x))^3 is (3ln^2(x))/x