What is the derivative of f(x)=3x+5/x ?

The derivative of f(x)=3x+5/x is 3-5/(x^2)

What is the first derivative of f(x)=3x+5/x ?

The first derivative of f(x)=3x+5/x is 3-5/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = 3 x + \frac{5}{x}

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

Solution steps

\frac{d}{d x} (3 x + \frac{5}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x) + \frac{d}{d x} (\frac{5}{x})

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

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

= 3 - \frac{5}{x ^{2}}

x \to 3 + lim (x x - 3)

x y^{^{'}} + 3 y = \frac{4 e ^{- 3 x}}{x ^{2}}

\frac{d}{d x} (x^{2} + 4 x)

\frac{d y}{d x} = \frac{2 x ( y + 1 )}{y}

\frac{d}{d x} (48)

What is the derivative of f(x)=3x+5/x ?
The derivative of f(x)=3x+5/x is 3-5/(x^2)
What is the first derivative of f(x)=3x+5/x ?
The first derivative of f(x)=3x+5/x is 3-5/(x^2)