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

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

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

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

\frac{π r ^{2}}{3}

Solution steps

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

Treat

r

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial h} (h) = 1

= \frac{1}{3} π r^{2} \cdot 1

Simplify

\frac{1}{3} π r^{2} \cdot 1 : \frac{π r ^{2}}{3}

= \frac{π r ^{2}}{3}

\frac{d}{d x} (- x^{2} + x)

f (t) = t^{2} + 4 t

\int \frac{1}{( 1 + y ) ^{2}} d y

\int_{- 1}^{1} 5^{x} d x

x \to 0 - lim (\frac{1}{x ^{2}})

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