What is the derivative of (2pi/x) ?

The derivative of (2pi/x) is -(2pi)/(x^2)

What is the first derivative of (2pi/x) ?

The first derivative of (2pi/x) is -(2pi)/(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} (\frac{2 π}{x})

- \frac{2 π}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{2 π}{x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 π \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 2 π \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= 2 π (- 1 \cdot x^{- 1 - 1})

Simplify

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

= - \frac{2 π}{x ^{2}}

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

\int x + 5 d x

sec^{2} (π t)

(1, - 6), (4, - 6)

\int (x^{4} + \frac{16}{4 x})^{2} d x

What is the derivative of (2pi/x) ?
The derivative of (2pi/x) is -(2pi)/(x^2)
What is the first derivative of (2pi/x) ?
The first derivative of (2pi/x) is -(2pi)/(x^2)