What is the derivative of 5x+4/x ?

The derivative of 5x+4/x is 5-4/(x^2)

What is the first derivative of 5x+4/x ?

The first derivative of 5x+4/x is 5-4/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

5 x + \frac{4}{x}

5 - \frac{4}{x ^{2}}

Solution steps

\frac{d}{d x} (5 x + \frac{4}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x) + \frac{d}{d x} (\frac{4}{x})

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

= 5 - \frac{4}{x ^{2}}

x \to 0 lim (- (\frac{1}{x} - \frac{1}{∣ x ∣}))

x \to 0 lim (sin (2 x))

\frac{d}{d y} (- \frac{y}{x ^{2} + y ^{2}})

\frac{s}{( s - 2 ) ^{2} + 16}

\frac{d}{d x} (f (x) (x)^{2} (x))

What is the derivative of 5x+4/x ?
The derivative of 5x+4/x is 5-4/(x^2)
What is the first derivative of 5x+4/x ?
The first derivative of 5x+4/x is 5-4/(x^2)