What is (\partial)/(\partial x)(c/x) ?

The answer to (\partial)/(\partial x)(c/x) is -c/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(c/x)

\frac{\partial}{\partial x} (\frac{c}{x})

- \frac{c}{x ^{2}}

Solution steps

\frac{\partial}{\partial x} (\frac{c}{x})

Take the constant out:

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

= c \frac{\partial}{\partial x} (\frac{1}{x})

Apply exponent rule:

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

= c \frac{\partial}{\partial x} (x^{- 1})

Apply the Power Rule:

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

= c (- 1 \cdot x^{- 1 - 1})

Simplify

c (- 1 \cdot x^{- 1 - 1}) : - \frac{c}{x ^{2}}

= - \frac{c}{x ^{2}}

\int 3 x^{2} - cos (x) + C d x

\int \frac{x}{202 1 ^{x}} d x

\frac{d}{d x} (x^{11} h (x))

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

f (x) = \frac{8}{x}

What is (\partial)/(\partial x)(c/x) ?
The answer to (\partial)/(\partial x)(c/x) is -c/(x^2)