What is the derivative of \sqrt[6]{x} ?

The derivative of \sqrt[6]{x} is 1/(6x^{5/6)}

What is the first derivative of \sqrt[6]{x} ?

The first derivative of \sqrt[6]{x} is 1/(6x^{5/6)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{1}{6 x ^{\frac{5}{6}}}

Solution steps

Apply radical rule:

= \frac{d}{d x} (x^{\frac{1}{6}})

Apply the Power Rule:

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

= \frac{1}{6} x^{\frac{1}{6} - 1}

Simplify

\frac{1}{6} x^{\frac{1}{6} - 1} : \frac{1}{6 x ^{\frac{5}{6}}}

= \frac{1}{6 x ^{\frac{5}{6}}}

\frac{d y}{d x} = - 5 sin (4 x)

\int \frac{9}{x ^{2} + 3 x - 18} d x

\int_{- 3}^{1} ∣ 3 x + 3 ∣ d x

x^{2} y^{^{'}} = 2 y^{2} - x^{2}

\int sinh^{2} (2 x) d x

What is the derivative of \sqrt[6]{x} ?
The derivative of \sqrt[6]{x} is 1/(6x^{5/6)}
What is the first derivative of \sqrt[6]{x} ?
The first derivative of \sqrt[6]{x} is 1/(6x^{5/6)}