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

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

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

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

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derivative of

\frac{4}{3} p i r^{3}

\frac{4 i r ^{3}}{3}

Solution steps

\frac{d}{d p} (\frac{4}{3} p i r^{3})

Treat

r

as a constant

Take the constant out:

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

= \frac{4}{3} i r^{3} \frac{d p}{d p}

Apply the common derivative:

\frac{d p}{d p} = 1

= \frac{4}{3} i r^{3} \cdot 1

Simplify

\frac{4}{3} i r^{3} \cdot 1 : \frac{4 i r ^{3}}{3}

= \frac{4 i r ^{3}}{3}

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