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Popular >

derivative of y=ln(4/(x^3))

Solution

derivative of

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

Solution

- \frac{3}{x}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (\frac{4}{x ^{3}}) = - \frac{12}{x ^{4}}

= \frac{1}{\frac{4}{x ^{3}}} (- \frac{12}{x ^{4}})

Simplify

\frac{1}{\frac{4}{x ^{3}}} (- \frac{12}{x ^{4}}) : - \frac{3}{x}

= - \frac{3}{x}

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Frequently Asked Questions (FAQ)

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