What is the derivative of xln(x^3) ?

The derivative of xln(x^3) is 3ln(x)+3

What is the first derivative of xln(x^3) ?

The first derivative of xln(x^3) is 3ln(x)+3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

3 ln (x) + 3

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = ln (x^{3})

= \frac{d x}{d x} ln (x^{3}) + \frac{d}{d x} (ln (x^{3})) x

\frac{d x}{d x} = 1

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

= 1 \cdot ln (x^{3}) + \frac{3}{x} x

Simplify

1 \cdot ln (x^{3}) + \frac{3}{x} x : 3 ln (x) + 3

= 3 ln (x) + 3

\int_{1}^{\infty} x e^{- 14 x} d x

13 (t + 1) \frac{d y}{d t} - 9 y = 36 t

\int x cos (10 x) d x

\frac{d}{d x} (arcsec (\frac{1}{x}))

\int_{- 1}^{1} (1 - x) d x

What is the derivative of xln(x^3) ?
The derivative of xln(x^3) is 3ln(x)+3
What is the first derivative of xln(x^3) ?
The first derivative of xln(x^3) is 3ln(x)+3