What is derivative of v= 4/3 pir^3 ?

The answer to derivative of v= 4/3 pir^3 is (dr)/(dv)= 1/(4pir^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of v= 4/3 pir^3

derivative of

v = \frac{4}{3} π r^{3}

\frac{d r}{d v} = \frac{1}{4 π r ^{2}}

Solution steps

v = \frac{4}{3} π r^{3}

Treat

r

r (v)

Differentiate both sides:

1 = 4 π r^{2} \frac{d r}{d v}

Isolate

\frac{d r}{d v} : \frac{d r}{d v} = \frac{1}{4 π r ^{2}}

\frac{d r}{d v} = \frac{1}{4 π r ^{2}}

f (x) = 3 x + 5

f (x) = x^{2} e^{- x}

f (m) = m^{\frac{2}{3}}

(3, \frac{3 π}{2})

(- 3, - 5), (1, - 9)

What is derivative of v= 4/3 pir^3 ?
The answer to derivative of v= 4/3 pir^3 is (dr)/(dv)= 1/(4pir^2)