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

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

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

The first derivative of y=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

y = 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 4 + 5 x^{2} d x

\int \frac{1}{x \cdot x + x ^{2}} d x

\int_{0}^{e} x ln (x) d x

y^{^{'}} = (x - 2) (y - 2)

f (x) = - x + 5 x^{- \frac{1}{2}} - 3, (1, 1)

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