What is (\partial)/(\partial x)(6/(x^4)) ?

The answer to (\partial)/(\partial x)(6/(x^4)) is -(24)/(x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(6/(x^4))

\frac{\partial}{\partial x} (\frac{6}{x ^{4}})

- \frac{24}{x ^{5}}

Solution steps

\frac{\partial}{\partial x} (\frac{6}{x ^{4}})

Take the constant out:

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

= 6 \frac{\partial}{\partial x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= 6 \frac{\partial}{\partial x} (x^{- 4})

Apply the Power Rule:

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

= 6 (- 4 x^{- 4 - 1})

Simplify

6 (- 4 x^{- 4 - 1}) : - \frac{24}{x ^{5}}

= - \frac{24}{x ^{5}}

y^{^{''}} + y = 3 sin (4 x)

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

y^{^{''}} + 2 y^{^{'}} - 3 y = - 16 x e^{x}

y = 3 - x, y = 2 x^{2}, [0, 3]

\frac{d}{d x} (4 x + 2 y)

What is (\partial)/(\partial x)(6/(x^4)) ?
The answer to (\partial)/(\partial x)(6/(x^4)) is -(24)/(x^5)