What is the derivative of (sqrt(3))/(x^5) ?

The derivative of (sqrt(3))/(x^5) is -(5sqrt(3))/(x^6)

What is the first derivative of (sqrt(3))/(x^5) ?

The first derivative of (sqrt(3))/(x^5) is -(5sqrt(3))/(x^6)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

\frac{3}{x ^{5}}

- \frac{5 3}{x ^{6}}

Solution steps

\frac{d}{d x} (\frac{3}{x ^{5}})

Take the constant out:

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

= 3 \frac{d}{d x} (\frac{1}{x ^{5}})

Apply exponent rule:

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

= 3 \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= 3 (- 5 x^{- 5 - 1})

Simplify

3 (- 5 x^{- 5 - 1}) : - \frac{5 3}{x ^{6}}

= - \frac{5 3}{x ^{6}}

What is the derivative of (sqrt(3))/(x^5) ?
The derivative of (sqrt(3))/(x^5) is -(5sqrt(3))/(x^6)
What is the first derivative of (sqrt(3))/(x^5) ?
The first derivative of (sqrt(3))/(x^5) is -(5sqrt(3))/(x^6)