en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (-2/(\sqrt[3]{x)})

Solution

Solution

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

Solution steps

Simplify

Take the constant out:

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

Apply exponent rule:

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

= - 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(144-t^2)

\int 144 - t^{2} d t

integral from 0 to 5 of (2e^x+4cos(x))

\int_{0}^{5} (2 e^{x} + 4 cos (x)) d x

limit as x approaches 2-of (3x)/(x^2-4)

x \to 2 - lim (\frac{3 x}{x ^{2} - 4})

derivative of (e^x/(3x^2+2x^4))

\frac{d}{d x} (\frac{e ^{x}}{3 x ^{2} + 2 x ^{4}})

(\partial)/(\partial x)(2xsin(8x^2y))

\frac{\partial}{\partial x} (2 x sin (8 x^{2} y))

Frequently Asked Questions (FAQ)

What is the derivative of (-2/(\sqrt[3]{x)}) ?
The derivative of (-2/(\sqrt[3]{x)}) is 2/(3x^{4/3)}
What is the first derivative of (-2/(\sqrt[3]{x)}) ?
The first derivative of (-2/(\sqrt[3]{x)}) is 2/(3x^{4/3)}