What is the derivative of 1/7 pir^3 ?

The derivative of 1/7 pir^3 is (3pir^2)/7

What is the first derivative of 1/7 pir^3 ?

The first derivative of 1/7 pir^3 is (3pir^2)/7

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derivative of

\frac{1}{7} π r^{3}

\frac{3 π r ^{2}}{7}

Solution steps

\frac{d}{d r} (\frac{1}{7} π r^{3})

Take the constant out:

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

= \frac{1}{7} π \frac{d}{d r} (r^{3})

Apply the Power Rule:

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

= \frac{1}{7} π 3 r^{3 - 1}

Simplify

\frac{1}{7} π 3 r^{3 - 1} : \frac{3 π r ^{2}}{7}

= \frac{3 π r ^{2}}{7}

\frac{\partial}{\partial x} (ln (3 x))

x \to \infty lim (8 x^{2} e^{- x})

y^{^{''}} - y^{^{'}} + y = e^{2 t}

\frac{d}{d x} (x (cosh (\frac{200}{x}) - 1) - 100)

f (x) = 2 x^{2} + x, at x = 1

What is the derivative of 1/7 pir^3 ?
The derivative of 1/7 pir^3 is (3pir^2)/7
What is the first derivative of 1/7 pir^3 ?
The first derivative of 1/7 pir^3 is (3pir^2)/7