What is the derivative of y= 1/2 x^3 ?

The derivative of y= 1/2 x^3 is (3x^2)/2

What is the first derivative of y= 1/2 x^3 ?

The first derivative of y= 1/2 x^3 is (3x^2)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = \frac{1}{2} x^{3}

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

Solution steps

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

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}

\frac{d}{d x} (\frac{1}{( x + 7 ) ^{2}})

f (x) = x \cdot tan (x^{2})

\frac{\partial}{\partial y} (3 x^{2} y + e^{y})

y = 8 x + 6 x^{\frac{3}{4}}

\frac{d y}{d t} = \frac{t}{t ^{2} y + y}, y (0) = - 9

What is the derivative of y= 1/2 x^3 ?
The derivative of y= 1/2 x^3 is (3x^2)/2
What is the first derivative of y= 1/2 x^3 ?
The first derivative of y= 1/2 x^3 is (3x^2)/2