What is the derivative of f(x)=9x+4x^{-1} ?

The derivative of f(x)=9x+4x^{-1} is 9-4/(x^2)

What is the first derivative of f(x)=9x+4x^{-1} ?

The first derivative of f(x)=9x+4x^{-1} is 9-4/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = 9 x + 4 x^{- 1}

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

Solution steps

\frac{d}{d x} (9 x + 4 x^{- 1})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 x) + \frac{d}{d x} (4 x^{- 1})

\frac{d}{d x} (9 x) = 9

\frac{d}{d x} (4 x^{- 1}) = - \frac{4}{x ^{2}}

= 9 - \frac{4}{x ^{2}}

\int_{0}^{1} (y^{6} + y^{8}) d y

x \to 1 + lim (\frac{1}{x} - 1)

y = 4 x, y = 6 x^{2}

\int 3 x^{2} a^{2} - x^{2} d x

What is the derivative of f(x)=9x+4x^{-1} ?
The derivative of f(x)=9x+4x^{-1} is 9-4/(x^2)
What is the first derivative of f(x)=9x+4x^{-1} ?
The first derivative of f(x)=9x+4x^{-1} is 9-4/(x^2)