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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

4 x + \frac{5}{x}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{\partial}{\partial x} (6 - x^{2} + x y - 4 y^{2})

x^{2} + 1, x + 1

\int \frac{1}{( x ^{2} + 49 ) ^{\frac{3}{2}}} d x

\frac{d}{d t} (A t e^{- t})

y^{^{'}} + 7 (\frac{y}{x}) = x

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