What is the derivative of (ln(x)^4) ?

The derivative of (ln(x)^4) is (4ln^3(x))/x

What is the first derivative of (ln(x)^4) ?

The first derivative of (ln(x)^4) is (4ln^3(x))/x

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\frac{d}{d x} ((ln (x))^{4})

\frac{4 ln ^{3} ( x )}{x}

Solution steps

\frac{d}{d x} ((ln (x))^{4})

Apply the chain rule:

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

= 4 (ln (x))^{3} \frac{d}{d x} (ln (x))

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

= 4 (ln (x))^{3} \frac{1}{x}

Simplify

4 ln^{3} (x) \frac{1}{x} : \frac{4 ln ^{3} ( x )}{x}

= \frac{4 ln ^{3} ( x )}{x}

f (x) = 3 tan (x)

y = x^{2} - 5 x + 5, (4, 1)

\frac{d}{d x} (\frac{3 x ^{2} e ^{x} - 4}{x ^{2}})

5 y^{^{'}} = y^{2}, y (0) = 1

\int_{0}^{1} \frac{x ^{2}}{x ^{2} + 1} d x

What is the derivative of (ln(x)^4) ?
The derivative of (ln(x)^4) is (4ln^3(x))/x
What is the first derivative of (ln(x)^4) ?
The first derivative of (ln(x)^4) is (4ln^3(x))/x