en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

derivative of f(x)=sqrt(x)-8\sqrt[3]{x}

Solution

derivative of

f (x) = x - 8 3 x

Solution

\frac{1}{2 x} - \frac{8}{3 x ^{\frac{2}{3}}}

Solution steps

\frac{d}{d x} (x - 8 3 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) - \frac{d}{d x} (8 3 x)

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

\frac{d}{d x} (8 3 x) = \frac{8}{3 x ^{\frac{2}{3}}}

= \frac{1}{2 x} - \frac{8}{3 x ^{\frac{2}{3}}}

Graph

Popular Examples

integral from 1 to 5 of x/(sqrt(5-x))

\int_{1}^{5} \frac{x}{5 - x} d x

laplacetransform 9/4 t^2e^{2t}e^{3t}

l a pl a ce t r an s f or m \frac{9}{4} t^{2} e^{2 t} e^{3 t}

derivative of xtan(2sqrt(x)+7)

\frac{d}{d x} (x tan (2 x) + 7)

integral of-1/64 e^{-4x}

\int - \frac{1}{64} e^{- 4 x} d x

y^'=e^{2y}sin(3x)

y^{^{'}} = e^{2 y} sin (3 x)

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(x)-8\sqrt[3]{x} ?
The derivative of f(x)=sqrt(x)-8\sqrt[3]{x} is 1/(2sqrt(x))-8/(3x^{2/3)}
What is the first derivative of f(x)=sqrt(x)-8\sqrt[3]{x} ?
The first derivative of f(x)=sqrt(x)-8\sqrt[3]{x} is 1/(2sqrt(x))-8/(3x^{2/3)}