What is the derivative of (sqrt(x)-1/(sqrt(x))^2) ?

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

What is the first derivative of (sqrt(x)-1/(sqrt(x))^2) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

- \frac{1}{x ^{2}} + 1

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (2) = 0

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

= 1 - 0 - \frac{1}{x ^{2}}

Simplify

= - \frac{1}{x ^{2}} + 1

\int sin (\frac{π}{2} x) d x

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

\int \frac{1}{y ^{2} 14 - y ^{2}} d y

\frac{2}{x}

6 \frac{d y}{d x} + 42 y = 7

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