What is the derivative of f(x)=x^{1/6} ?

The derivative of f(x)=x^{1/6} is 1/(6x^{5/6)}

What is the first derivative of f(x)=x^{1/6} ?

The first derivative of f(x)=x^{1/6} 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

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

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

Solution steps

\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}}}

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

\int t 4 + 9 t^{2} d t

\int \frac{1}{1 + 64 x ^{2}} d x

\int_{0}^{\infty} t e^{- t^{2}} d t

\frac{d}{d x} (\frac{x}{x - 9})

What is the derivative of f(x)=x^{1/6} ?
The derivative of f(x)=x^{1/6} is 1/(6x^{5/6)}
What is the first derivative of f(x)=x^{1/6} ?
The first derivative of f(x)=x^{1/6} is 1/(6x^{5/6)}