What is the derivative of f(x)=5x^2-x^{1/3} ?

The derivative of f(x)=5x^2-x^{1/3} is (-1+30x^{5/3})/(3x^{2/3)}

What is the first derivative of f(x)=5x^2-x^{1/3} ?

The first derivative of f(x)=5x^2-x^{1/3} is (-1+30x^{5/3})/(3x^{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) = 5 x^{2} - x^{\frac{1}{3}}

\frac{- 1 + 30 x ^{\frac{5}{3}}}{3 x ^{\frac{2}{3}}}

Solution steps

\frac{d}{d x} (5 x^{2} - x^{\frac{1}{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (x^{\frac{1}{3}})

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 10 x - \frac{1}{3 x ^{\frac{2}{3}}}

Simplify

10 x - \frac{1}{3 x ^{\frac{2}{3}}} : \frac{- 1 + 30 x ^{\frac{5}{3}}}{3 x ^{\frac{2}{3}}}

= \frac{- 1 + 30 x ^{\frac{5}{3}}}{3 x ^{\frac{2}{3}}}

\frac{\partial}{\partial x} (e^{z})

f (x) = x - x^{2} + arcsin (x)

n = 1 \sum \infty \frac{3}{2 ^{n} + 1}

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

f (x) = \frac{( x ^{2} + 9 )}{( x ^{2} - 9 )}

What is the derivative of f(x)=5x^2-x^{1/3} ?
The derivative of f(x)=5x^2-x^{1/3} is (-1+30x^{5/3})/(3x^{2/3)}
What is the first derivative of f(x)=5x^2-x^{1/3} ?
The first derivative of f(x)=5x^2-x^{1/3} is (-1+30x^{5/3})/(3x^{2/3)}