What is the derivative of 6/(x^6) ?

The derivative of 6/(x^6) is -(36)/(x^7)

What is the first derivative of 6/(x^6) ?

The first derivative of 6/(x^6) is -(36)/(x^7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{6}{x ^{6}}

- \frac{36}{x ^{7}}

Solution steps

\frac{d}{d x} (\frac{6}{x ^{6}})

Take the constant out:

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

= 6 \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

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

= 6 \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

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

= 6 (- 6 x^{- 6 - 1})

Simplify

6 (- 6 x^{- 6 - 1}) : - \frac{36}{x ^{7}}

= - \frac{36}{x ^{7}}

x \to 6 + lim (\frac{∣ x - 6 ∣}{x - 6})

\frac{d}{d E} (E i)

n = 1 \sum \infty \frac{2}{n ^{2} + 4 n + 3}

\frac{\partial}{\partial x} (x^{4} + 2 y^{6} - x y - x + 2)

\int_{0}^{4} π (x + 1)^{2} d x

What is the derivative of 6/(x^6) ?
The derivative of 6/(x^6) is -(36)/(x^7)
What is the first derivative of 6/(x^6) ?
The first derivative of 6/(x^6) is -(36)/(x^7)