en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of-1/(4x)

Solution

\frac{d}{d x} (- \frac{1}{4 x})

Solution

\frac{1}{4 x ^{2}}

Solution steps

\frac{d}{d x} (- \frac{1}{4 x})

Take the constant out:

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

= - \frac{1}{4} \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= - \frac{1}{4} \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= - \frac{1}{4} (- 1 \cdot x^{- 1 - 1})

Simplify

- \frac{1}{4} (- 1 \cdot x^{- 1 - 1}) : \frac{1}{4 x ^{2}}

= \frac{1}{4 x ^{2}}

Popular Examples

derivative of ln(x-1)derivative of

ln (x - 1)

derivative of f(x)=ln(12x)derivative of

f (x) = ln (12 x)

derivative of ((x+5^5-1)^4)

\frac{d}{d x} (((x + 5)^{5} - 1)^{4})

(\partial)/(\partial x)(1/(1-e^{-x)})

\frac{\partial}{\partial x} (\frac{1}{1 - e ^{- x}})

limit as x approaches 0 of xcot(10/3 x)

x \to 0 lim (x cot (\frac{10}{3} x))

Frequently Asked Questions (FAQ)

What is the derivative of-1/(4x) ?
The derivative of-1/(4x) is 1/(4x^2)
What is the first derivative of-1/(4x) ?
The first derivative of-1/(4x) is 1/(4x^2)