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

The derivative of f(x)=ln(x^4) is 4/x

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

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

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derivative of

f (x) = ln (x^{4})

\frac{4}{x}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{x ^{4}} \cdot 4 x^{3}

Simplify

\frac{1}{x ^{4}} \cdot 4 x^{3} : \frac{4}{x}

= \frac{4}{x}

\int cos (\frac{1}{3} x) d x

\frac{1}{( s - 7 ) ^{3}}

n = 1 \sum \infty \frac{2 n}{n ^{2} + 1}

y = e^{- 3 x}, x \geq 0

\frac{3}{4 x ^{5}}

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