What is the derivative of 3pir^2 ?

The derivative of 3pir^2 is 6pir

What is the first derivative of 3pir^2 ?

The first derivative of 3pir^2 is 6pir

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derivative of

3 π r^{2}

6 π r

Solution steps

\frac{d}{d r} (3 π r^{2})

Take the constant out:

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

= 3 π \frac{d}{d r} (r^{2})

Apply the Power Rule:

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

= 3 π 2 r^{2 - 1}

Simplify

= 6 π r

\frac{d}{d x} (x^{2} e^{- 0.04 x})

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

\frac{\partial}{\partial x} (x y^{2} z)

\int (3 - x)^{3} d x

y = x^{4} + 8 e^{x}, (0, 8)