en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 3/4 x^{4/3}

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

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

Popular Examples

sum from n=1 to infinity of (6n)/(2n+1)

n = 1 \sum \infty \frac{6 n}{2 n + 1}

inverse oflaplace e^{1-s}inverse laplace

e^{1 - s}

derivative of ln(arctan(x+1))derivative of

ln (arctan (x + 1))

(\partial)/(\partial t)((rs)/(s^2+t^2))

\frac{\partial}{\partial t} (\frac{rs}{s ^{2} + t ^{2}})

derivative of (8x^2+3(3-x^2+7x))

\frac{d}{d x} ((8 x^{2} + 3) (3 - x^{2} + 7 x))

Frequently Asked Questions (FAQ)

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