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

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

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

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

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derivative of

V (r) = \frac{4}{3} π r^{3}

4 π r^{2}

Solution steps

\frac{d}{d r} (\frac{4}{3} π r^{3})

Take the constant out:

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

= \frac{4}{3} π \frac{d}{d r} (r^{3})

Apply the Power Rule:

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

= \frac{4}{3} π 3 r^{3 - 1}

Simplify

\frac{4}{3} π 3 r^{3 - 1} : 4 π r^{2}

= 4 π r^{2}

0.04 x^{2} - 2 x + 6 x^{0.2}

\frac{d}{d x} (sin (ln (x^{3})))

\int \frac{1}{x ^{3} - x ^{2} - 9 x + 9} d x

f (x) = 2 x^{3} + 5

\int 9 sec^{3} (5 x) d x

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