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

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

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

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

\frac{m}{2 π ( a - x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{m}{2 π ( a - x )})

Take the constant out:

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

= \frac{m}{2 π} \frac{d}{d x} (\frac{1}{a - x})

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

= \frac{m}{2 π} (- \frac{1}{( a - x ) ^{2}} (- 1))

Simplify

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

= \frac{m}{2 π ( a - x ) ^{2}}

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