What is the derivative of xln(x) ?

The derivative of xln(x) is ln(x)+1

What is the first derivative of xln(x) ?

The first derivative of xln(x) is ln(x)+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x ln (x)

ln (x) + 1

Solution steps

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

Apply the Product Rule:

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

f = x, g = ln (x)

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

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

\frac{d}{d x} (ln (x)) = \frac{1}{x}

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

Simplify

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

= ln (x) + 1

7 x + 4 y = 10

f (x) = 3 x^{3}

f (x) = \frac{x - 1}{x + 1}

f (x) = x^{2} + 6 x + 1, at x = - 2

(- 4, 3)

What is the derivative of xln(x) ?
The derivative of xln(x) is ln(x)+1
What is the first derivative of xln(x) ?
The first derivative of xln(x) is ln(x)+1