What is the derivative of f(x)=3x+x^{4/3} ?

The derivative of f(x)=3x+x^{4/3} is 3+(4x^{1/3})/3

What is the first derivative of f(x)=3x+x^{4/3} ?

The first derivative of f(x)=3x+x^{4/3} is 3+(4x^{1/3})/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) = 3 x + x^{\frac{4}{3}}

3 + \frac{4 x ^{\frac{1}{3}}}{3}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 3 + \frac{4 x ^{\frac{1}{3}}}{3}

x \to 0 + lim (\frac{1}{x} \cdot e^{\frac{1}{x}})

f (x) = 3 cos (2 x)

y = \frac{8}{1 + x ^{4}}, y = 4 x^{2}

f (x) = \frac{1}{x - 4}

\int sec (d) x d x

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