What is the derivative of 7pir^2 ?

The derivative of 7pir^2 is 14pir

What is the first derivative of 7pir^2 ?

The first derivative of 7pir^2 is 14pir

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derivative of

7 π r^{2}

14 π r

Solution steps

\frac{d}{d r} (7 π r^{2})

Take the constant out:

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

= 7 π \frac{d}{d r} (r^{2})

Apply the Power Rule:

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

= 7 π 2 r^{2 - 1}

Simplify

= 14 π r

What is the derivative of 7pir^2 ?
The derivative of 7pir^2 is 14pir
What is the first derivative of 7pir^2 ?
The first derivative of 7pir^2 is 14pir