What is the derivative of (x-1/x ^4) ?

The derivative of (x-1/x ^4) is 4(x-1/x)^3(1+1/(x^2))

What is the first derivative of (x-1/x ^4) ?

The first derivative of (x-1/x ^4) is 4(x-1/x)^3(1+1/(x^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

4 (x - \frac{1}{x})^{3} (1 + \frac{1}{x ^{2}})

Solution steps

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

Apply the chain rule:

4 (x - \frac{1}{x})^{3} \frac{d}{d x} (x - \frac{1}{x})

= 4 (x - \frac{1}{x})^{3} \frac{d}{d x} (x - \frac{1}{x})

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

= 4 (x - \frac{1}{x})^{3} (1 + \frac{1}{x ^{2}})

x \to 5 lim (- x^{2} + 8 x - 5)

\frac{\partial}{\partial z} (3 y z^{2})

\int_{1}^{10} 5 x - 1 d x

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

n \to \infty lim (n^{0})

What is the derivative of (x-1/x ^4) ?
The derivative of (x-1/x ^4) is 4(x-1/x)^3(1+1/(x^2))
What is the first derivative of (x-1/x ^4) ?
The first derivative of (x-1/x ^4) is 4(x-1/x)^3(1+1/(x^2))