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

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

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

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

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derivative of

g (x) = ln^{3} (x)

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

Solution steps

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

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}

y = \frac{5 x}{2 ^{x}}, at x = 2

\frac{\partial}{\partial y} (ln (x^{2} + 3 y))

\frac{d}{d x} (\frac{6 x ^{5} - 7 x}{x ^{4} - 8})

\int (6 e^{- 0.2 x}) d x

5 - x, 25 - x^{2}

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