What is the derivative of ln(x^6) ?

The derivative of ln(x^6) is 6/x

What is the first derivative of ln(x^6) ?

The first derivative of ln(x^6) is 6/x

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derivative of

ln (x^{6})

\frac{6}{x}

Solution steps

\frac{d}{d x} (ln (x^{6}))

Apply the chain rule:

\frac{1}{x ^{6}} \frac{d}{d x} (x^{6})

= \frac{1}{x ^{6}} \frac{d}{d x} (x^{6})

\frac{d}{d x} (x^{6}) = 6 x^{5}

= \frac{1}{x ^{6}} \cdot 6 x^{5}

Simplify

\frac{1}{x ^{6}} \cdot 6 x^{5} : \frac{6}{x}

= \frac{6}{x}

n = 0 \sum \infty \frac{4 ^{(2 n + 1)}}{( - 4 ) ^{n}}

\frac{d}{d x} (- \frac{1}{4 x ^{\frac{3}{2}}})

\int e^{5 x + 3} d x

\int \frac{2 ^{t a n (x)}}{cos ^{2} ( x )} d x

x \to - 6 lim (\frac{x ^{2} - 2}{6 - x})

What is the derivative of ln(x^6) ?
The derivative of ln(x^6) is 6/x
What is the first derivative of ln(x^6) ?
The first derivative of ln(x^6) is 6/x