en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 2x^{-1/3}

Solution

\frac{d}{d x} (2 x^{- \frac{1}{3}})

Solution

- \frac{2}{3 x ^{\frac{4}{3}}}

Solution steps

\frac{d}{d x} (2 x^{- \frac{1}{3}})

Take the constant out:

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

= 2 \frac{d}{d x} (x^{- \frac{1}{3}})

Apply the Power Rule:

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

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

Simplify

2 (- \frac{1}{3} x^{- \frac{1}{3} - 1}) : - \frac{2}{3 x ^{\frac{4}{3}}}

= - \frac{2}{3 x ^{\frac{4}{3}}}

Popular Examples

integral of sqrt(24+12x+3x^2)

\int 24 + 12 x + 3 x^{2} d x

derivative of 5/(2x)derivative of

\frac{5}{2 x}

(\partial)/(\partial x)(1/(sqrt(4pit))e^{-(x^2)/(4t)})

\frac{\partial}{\partial x} (\frac{1}{4 π t} e^{- \frac{x ^{2}}{4 t}})

(\partial)/(\partial x)((xy)/(5x+3y))

\frac{\partial}{\partial x} (\frac{x y}{5 x + 3 y})

y (x + 9) + y^{^{'}} = 0

Frequently Asked Questions (FAQ)

What is the derivative of 2x^{-1/3} ?
The derivative of 2x^{-1/3} is -2/(3x^{4/3)}
What is the first derivative of 2x^{-1/3} ?
The first derivative of 2x^{-1/3} is -2/(3x^{4/3)}