What is the derivative of 1/6 pir^3 ?

The derivative of 1/6 pir^3 is (pir^2)/2

What is the first derivative of 1/6 pir^3 ?

The first derivative of 1/6 pir^3 is (pir^2)/2

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derivative of

\frac{1}{6} π r^{3}

\frac{π r ^{2}}{2}

Solution steps

\frac{d}{d r} (\frac{1}{6} π r^{3})

Take the constant out:

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

= \frac{1}{6} π \frac{d}{d r} (r^{3})

Apply the Power Rule:

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

= \frac{1}{6} π 3 r^{3 - 1}

Simplify

\frac{1}{6} π 3 r^{3 - 1} : \frac{π r ^{2}}{2}

= \frac{π r ^{2}}{2}

\frac{d}{d x} (ln (sinh (9 x)))

\frac{d y}{d x} = \frac{y ^{2} - 1}{x ^{2} - 1}, y (8) = 8

\frac{d}{d x} ((x^{2} + x)^{3})

\frac{d}{d x} (\frac{1 + x ^{2}}{1 - x ^{2}})

\int_{1}^{2} \frac{11}{x ^{3} + 3 x} d x

What is the derivative of 1/6 pir^3 ?
The derivative of 1/6 pir^3 is (pir^2)/2
What is the first derivative of 1/6 pir^3 ?
The first derivative of 1/6 pir^3 is (pir^2)/2