What is the derivative of 4x-2/(x^3) ?

The derivative of 4x-2/(x^3) is 4+6/(x^4)

What is the first derivative of 4x-2/(x^3) ?

The first derivative of 4x-2/(x^3) is 4+6/(x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (4 x - \frac{2}{x ^{3}})

4 + \frac{6}{x ^{4}}

Solution steps

\frac{d}{d x} (4 x - \frac{2}{x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) - \frac{d}{d x} (\frac{2}{x ^{3}})

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

\frac{d}{d x} (\frac{2}{x ^{3}}) = - \frac{6}{x ^{4}}

= 4 - (- \frac{6}{x ^{4}})

Simplify

= 4 + \frac{6}{x ^{4}}

\frac{\partial}{\partial x} (\frac{x}{x + y} + e^{x y} x + 4 y)

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

\frac{d}{d x} (2 cos (\frac{x}{2}))

- 4 (x - 9)^{3}

(sin (x)), \frac{π}{2}

What is the derivative of 4x-2/(x^3) ?
The derivative of 4x-2/(x^3) is 4+6/(x^4)
What is the first derivative of 4x-2/(x^3) ?
The first derivative of 4x-2/(x^3) is 4+6/(x^4)