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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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}

f (x) = \frac{sec ( x )}{1 + tan ( x )}

\int_{0}^{1} (u + 4) (u - 5) d u

x = 1, x + y = 6

\frac{e ^{x} - ( 1 + x )}{7 x ^{2}}

\frac{\partial}{\partial x} (e^{- x} \cdot cos (y))

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