What is the derivative of f(x)=4x^{3/2} ?

The derivative of f(x)=4x^{3/2} is 6x^{1/2}

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

The first derivative of f(x)=4x^{3/2} is 6x^{1/2}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = 4 x^{\frac{3}{2}}

6 x^{\frac{1}{2}}

Solution steps

\frac{d}{d x} (4 x^{\frac{3}{2}})

Take the constant out:

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

= 4 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

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

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

Simplify

4 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : 6 x^{\frac{1}{2}}

= 6 x^{\frac{1}{2}}

ln (1 - x), 0

\int x (3 x + 1)^{7} d x

(t + 5)^{3}

\frac{d}{d x} (\frac{ln ( x )}{x ^{13}})

\frac{10}{x}

What is the derivative of f(x)=4x^{3/2} ?
The derivative of f(x)=4x^{3/2} is 6x^{1/2}
What is the first derivative of f(x)=4x^{3/2} ?
The first derivative of f(x)=4x^{3/2} is 6x^{1/2}