What is the derivative of x+(100/x) ?

The derivative of x+(100/x) is 1-(100)/(x^2)

What is the first derivative of x+(100/x) ?

The first derivative of x+(100/x) is 1-(100)/(x^2)

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{100}{x})

1 - \frac{100}{x ^{2}}

Solution steps

\frac{d}{d x} (x + \frac{100}{x})

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} + \frac{d}{d x} (\frac{100}{x})

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

\frac{d}{d x} (\frac{100}{x}) = - \frac{100}{x ^{2}}

= 1 - \frac{100}{x ^{2}}

(2 y^{2} + 4 x^{2}) d x - x y d y = 0

\frac{d x}{d y} + x y^{2} = 0

y = 5 + 4 - x, (0, 8)

\int \frac{x + 1}{x} d x

y^{4}

What is the derivative of x+(100/x) ?
The derivative of x+(100/x) is 1-(100)/(x^2)
What is the first derivative of x+(100/x) ?
The first derivative of x+(100/x) is 1-(100)/(x^2)