What is the derivative of 4x^{1/3} ?

The derivative of 4x^{1/3} is 4/(3x^{2/3)}

What is the first derivative of 4x^{1/3} ?

The first derivative of 4x^{1/3} is 4/(3x^{2/3)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (4 x^{\frac{1}{3}})

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

Solution steps

\frac{d}{d x} (4 x^{\frac{1}{3}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (x^{\frac{1}{3}})

Apply the Power Rule:

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

= 4 \cdot \frac{1}{3} x^{\frac{1}{3} - 1}

Simplify

4 \cdot \frac{1}{3} x^{\frac{1}{3} - 1} : \frac{4}{3 x ^{\frac{2}{3}}}

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

5 x - x^{2}, 0

h \to 0 lim (h)

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

f (x) = \frac{ln ( x )}{x}

x \to 0 lim ((e^{2 x} - 5 x)^{2})

What is the derivative of 4x^{1/3} ?
The derivative of 4x^{1/3} is 4/(3x^{2/3)}
What is the first derivative of 4x^{1/3} ?
The first derivative of 4x^{1/3} is 4/(3x^{2/3)}