What is the derivative of y= 4/3 pix^3 ?

The derivative of y= 4/3 pix^3 is 4pix^2

What is the first derivative of y= 4/3 pix^3 ?

The first derivative of y= 4/3 pix^3 is 4pix^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

y = \frac{4}{3} π x^{3}

4 π x^{2}

Solution steps

\frac{d}{d x} (\frac{4}{3} π x^{3})

Take the constant out:

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

= \frac{4}{3} π \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= \frac{4}{3} π 3 x^{3 - 1}

Simplify

\frac{4}{3} π 3 x^{3 - 1} : 4 π x^{2}

= 4 π x^{2}

What is the derivative of y= 4/3 pix^3 ?
The derivative of y= 4/3 pix^3 is 4pix^2
What is the first derivative of y= 4/3 pix^3 ?
The first derivative of y= 4/3 pix^3 is 4pix^2