What is the derivative of \sqrt[3]{x}+(x^{1/3})/3 ?

The derivative of \sqrt[3]{x}+(x^{1/3})/3 is 4/(9x^{2/3)}

What is the first derivative of \sqrt[3]{x}+(x^{1/3})/3 ?

The first derivative of \sqrt[3]{x}+(x^{1/3})/3 is 4/(9x^{2/3)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

3 x + \frac{x ^{\frac{1}{3}}}{3}

\frac{4}{9 x ^{\frac{2}{3}}}

Solution steps

\frac{d}{d x} (3 x + \frac{x ^{\frac{1}{3}}}{3})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (\frac{x ^{\frac{1}{3}}}{3}) = \frac{1}{9 x ^{\frac{2}{3}}}

= \frac{1}{3 x ^{\frac{2}{3}}} + \frac{1}{9 x ^{\frac{2}{3}}}

Simplify

\frac{1}{3 x ^{\frac{2}{3}}} + \frac{1}{9 x ^{\frac{2}{3}}} : \frac{4}{9 x ^{\frac{2}{3}}}

= \frac{4}{9 x ^{\frac{2}{3}}}

F (X) = X - ln (1 + X)

\int \frac{66 x ^{2}}{x ^{4} - 65 x ^{2} + 784} d x

\frac{\partial}{\partial x} (y sin (x y) - 2 x y)

\frac{d}{d x} (x^{2} - 25 I n (x^{2}))

\int 2 y^{3} d y

What is the derivative of \sqrt[3]{x}+(x^{1/3})/3 ?
The derivative of \sqrt[3]{x}+(x^{1/3})/3 is 4/(9x^{2/3)}
What is the first derivative of \sqrt[3]{x}+(x^{1/3})/3 ?
The first derivative of \sqrt[3]{x}+(x^{1/3})/3 is 4/(9x^{2/3)}