What is the derivative of 4/3 pir^2 ?

The derivative of 4/3 pir^2 is (8pir)/3

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

The first derivative of 4/3 pir^2 is (8pir)/3

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derivative of

\frac{4}{3} π r^{2}

\frac{8 π r}{3}

Solution steps

\frac{d}{d r} (\frac{4}{3} π r^{2})

Take the constant out:

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

= \frac{4}{3} π \frac{d}{d r} (r^{2})

Apply the Power Rule:

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

= \frac{4}{3} π 2 r^{2 - 1}

Simplify

\frac{4}{3} π 2 r^{2 - 1} : \frac{8 π r}{3}

= \frac{8 π r}{3}

t

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\frac{\partial}{\partial x} (x y e^{- 8 (x^{2} + y^{2})})

\int_{0}^{1} 8 cos (2 x) d x

\int_{0}^{9} \frac{1}{9 - x} d x

What is the derivative of 4/3 pir^2 ?
The derivative of 4/3 pir^2 is (8pir)/3
What is the first derivative of 4/3 pir^2 ?
The first derivative of 4/3 pir^2 is (8pir)/3