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

The derivative of 4/3 pir^3 is 4pir^2

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

The first derivative of 4/3 pir^3 is 4pir^2

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derivative of

\frac{4}{3} π r^{3}

4 π r^{2}

Solution steps

\frac{d}{d r} (\frac{4}{3} π r^{3})

Take the constant out:

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

= \frac{4}{3} π \frac{d}{d r} (r^{3})

Apply the Power Rule:

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

= \frac{4}{3} π 3 r^{3 - 1}

Simplify

\frac{4}{3} π 3 r^{3 - 1} : 4 π r^{2}

= 4 π r^{2}

\frac{s - s}{s ^{2}}

y = 3 - x^{2}, y = - 1

\int_{a}^{b} \frac{1}{r ^{2}} d r

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

\int \frac{2 x + 4}{x} d x

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