What is the derivative of f(x)=x-3x^{1/3} ?

The derivative of f(x)=x-3x^{1/3} is 1-1/(x^{2/3)}

What is the first derivative of f(x)=x-3x^{1/3} ?

The first derivative of f(x)=x-3x^{1/3} is 1-1/(x^{2/3)}

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

1 - \frac{1}{x ^{\frac{2}{3}}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 - \frac{1}{x ^{\frac{2}{3}}}

A n n - b

\int_{0}^{1} x^{2} cos (x^{3}) d x

\frac{d}{d x} (6 x^{7} - 2 x^{5} + 2)

n = 0 \sum \infty n e^{- n}

What is the derivative of f(x)=x-3x^{1/3} ?
The derivative of f(x)=x-3x^{1/3} is 1-1/(x^{2/3)}
What is the first derivative of f(x)=x-3x^{1/3} ?
The first derivative of f(x)=x-3x^{1/3} is 1-1/(x^{2/3)}