en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(ln(x^3))^'

Solution

(ln (x^{3}))^{^{'}}

Solution

\frac{3}{x}

Solution steps

(ln (x^{3}))^{'}

Apply the chain rule:

\frac{1}{x ^{3}} (x^{3})^{'}

= \frac{1}{x ^{3}} (x^{3})^{'}

(x^{3})^{'} = 3 x^{2}

= \frac{1}{x ^{3}} \cdot 3 x^{2}

Simplify

\frac{1}{x ^{3}} \cdot 3 x^{2} : \frac{3}{x}

= \frac{3}{x}

Popular Examples

inverse oflaplace 1/((s-1)(s^2-1))inverse laplace

\frac{1}{( s - 1 ) ( s ^{2} - 1 )}

integral of x^5sqrt(x^3+5)

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

integral of ((x^3+64))/(x^2+64)

\int \frac{( x ^{3} + 64 )}{x ^{2} + 64} d x

inverse oflaplace 1/(s(s^2+34.5s+1000))inverse laplace

\frac{1}{s ( s ^{2} + 34.5 s + 1000 )}

integral from 0 to 7 of 1

\int_{0}^{7} 1

Frequently Asked Questions (FAQ)

What is the (ln(x^3))^' ?
The (ln(x^3))^' is 3/x
What is the first (ln(x^3))^' ?
The first (ln(x^3))^' is 3/x