What is (\partial)/(\partial r)(1/3 pir^2h) ?

The answer to (\partial)/(\partial r)(1/3 pir^2h) is (2pihr)/3

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(\partial)/(\partial r)(1/3 pir^2h)

\frac{\partial}{\partial r} (\frac{1}{3} π r^{2} h)

\frac{2 πh r}{3}

Solution steps

\frac{\partial}{\partial r} (\frac{1}{3} π r^{2} h)

Take the constant out:

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

= \frac{1}{3} πh \frac{\partial}{\partial r} (r^{2})

Apply the Power Rule:

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

= \frac{1}{3} πh \cdot 2 r^{2 - 1}

Simplify

\frac{1}{3} πh \cdot 2 r^{2 - 1} : \frac{2 πh r}{3}

= \frac{2 πh r}{3}

f (x) = \frac{( 5 x - 2 )}{( x ^{2} + 1 )}

\int_{0}^{\frac{π}{8}} sec^{2} (2 x) d x

\int_{0}^{\frac{π}{6}} 1

x \to 0 - lim (x^{s i n (x)})

y = (1 + x)^{3}

What is (\partial)/(\partial r)(1/3 pir^2h) ?
The answer to (\partial)/(\partial r)(1/3 pir^2h) is (2pihr)/3