What is the derivative of 4pir^2 ?

The derivative of 4pir^2 is 8pir

What is the first derivative of 4pir^2 ?

The first derivative of 4pir^2 is 8pir

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derivative of

4 π r^{2}

8 π r

Solution steps

\frac{d}{d r} (4 π r^{2})

Take the constant out:

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

= 4 π \frac{d}{d r} (r^{2})

Apply the Power Rule:

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

= 4 π 2 r^{2 - 1}

Simplify

= 8 π r

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