What is the derivative of pi/(2x^5) ?

The derivative of pi/(2x^5) is -(5pi)/(2x^6)

What is the first derivative of pi/(2x^5) ?

The first derivative of pi/(2x^5) is -(5pi)/(2x^6)

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{π}{2 x ^{5}})

- \frac{5 π}{2 x ^{6}}

Solution steps

\frac{d}{d x} (\frac{π}{2 x ^{5}})

Take the constant out:

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

= \frac{π}{2} \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= \frac{π}{2} \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= \frac{π}{2} (- 5 x^{- 5 - 1})

Simplify

\frac{π}{2} (- 5 x^{- 5 - 1}) : - \frac{5 π}{2 x ^{6}}

= - \frac{5 π}{2 x ^{6}}

\int 3 x^{2} + 4 d x

x \to 3 lim (x^{2} + 7 + 5)

y = 4 x^{3} 1 - x^{2}

\int \frac{x + 4}{x - 4} d x

\frac{d}{d t} (6 - 3 t^{2})

What is the derivative of pi/(2x^5) ?
The derivative of pi/(2x^5) is -(5pi)/(2x^6)
What is the first derivative of pi/(2x^5) ?
The first derivative of pi/(2x^5) is -(5pi)/(2x^6)