What is the derivative of (4pir^3)/3 ?

The derivative of (4pir^3)/3 is 4pir^2

What is the first derivative of (4pir^3)/3 ?

The first derivative of (4pir^3)/3 is 4pir^2

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derivative of

\frac{4 π r ^{3}}{3}

4 π r^{2}

Solution steps

\frac{d}{d r} (\frac{4 π r ^{3}}{3})

Take the constant out:

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

= \frac{4 π}{3} \frac{d}{d r} (r^{3})

Apply the Power Rule:

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

= \frac{4 π}{3} \cdot 3 r^{3 - 1}

Simplify

\frac{4 π}{3} \cdot 3 r^{3 - 1} : 4 π r^{2}

= 4 π r^{2}

\frac{x ^{3}}{x + 1}

\int \frac{1}{x ^{p}} d x

\frac{d}{d x} (- 4 x e^{- 2 x^{2}})

\int \frac{11}{x ^{2} + 1} d x

\int sin (2 x - \frac{π}{2}) d x

What is the derivative of (4pir^3)/3 ?
The derivative of (4pir^3)/3 is 4pir^2
What is the first derivative of (4pir^3)/3 ?
The first derivative of (4pir^3)/3 is 4pir^2