What is the derivative of (x-3/x+ln(x/3)) ?

The derivative of (x-3/x+ln(x/3)) is 3/(x^2)+1/x

What is the first derivative of (x-3/x+ln(x/3)) ?

The first derivative of (x-3/x+ln(x/3)) is 3/(x^2)+1/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{x - 3}{x} + ln (\frac{x}{3}))

\frac{3}{x ^{2}} + \frac{1}{x}

Solution steps

\frac{d}{d x} (\frac{x - 3}{x} + ln (\frac{x}{3}))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (\frac{x - 3}{x}) = \frac{3}{x ^{2}}

\frac{d}{d x} (ln (\frac{x}{3})) = \frac{1}{x}

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

x \to \infty lim (3 ln (x))

k

\int_{2}^{2} \frac{u}{u ^{2} - 1} d u

\frac{\partial}{\partial y} (e^{x + y + 1})

\int_{0}^{1} x - x^{2} d x

What is the derivative of (x-3/x+ln(x/3)) ?
The derivative of (x-3/x+ln(x/3)) is 3/(x^2)+1/x
What is the first derivative of (x-3/x+ln(x/3)) ?
The first derivative of (x-3/x+ln(x/3)) is 3/(x^2)+1/x