What is the derivative of (x^3/2) ?

The derivative of (x^3/2) is (3x^2)/2

What is the first derivative of (x^3/2) ?

The first derivative of (x^3/2) is (3x^2)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{3 x ^{2}}{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{3 x ^{2}}{2}

x \to 2 + lim (4 x^{2} - 2 x + 3)

f (x) = 7 x, at x = 25

ln (x^{\frac{3}{2}})

\frac{10}{s ( s + 2 )}

f (x) = 4 x^{2} + 5 x + 1, (0, 1)

What is the derivative of (x^3/2) ?
The derivative of (x^3/2) is (3x^2)/2
What is the first derivative of (x^3/2) ?
The first derivative of (x^3/2) is (3x^2)/2