What is the derivative of f(x)=x^{1/9} ?

The derivative of f(x)=x^{1/9} is 1/(9x^{8/9)}

What is the first derivative of f(x)=x^{1/9} ?

The first derivative of f(x)=x^{1/9} is 1/(9x^{8/9)}

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}{9}}

\frac{1}{9 x ^{\frac{8}{9}}}

Solution steps

\frac{d}{d x} (x^{\frac{1}{9}})

Apply the Power Rule:

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

= \frac{1}{9} x^{\frac{1}{9} - 1}

Simplify

\frac{1}{9} x^{\frac{1}{9} - 1} : \frac{1}{9 x ^{\frac{8}{9}}}

= \frac{1}{9 x ^{\frac{8}{9}}}

\frac{d}{d x} (8 - 5 x)

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

\int (2 x^{3} + x) (x^{4} + x^{2})^{108} d x

f (x) = sin (9 x)

\frac{d}{d x} (500 x - 2 x^{2})

What is the derivative of f(x)=x^{1/9} ?
The derivative of f(x)=x^{1/9} is 1/(9x^{8/9)}
What is the first derivative of f(x)=x^{1/9} ?
The first derivative of f(x)=x^{1/9} is 1/(9x^{8/9)}