What is (\partial)/(\partial h)(2pir^2+2pirh) ?

The answer to (\partial)/(\partial h)(2pir^2+2pirh) is 2pir

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(\partial)/(\partial h)(2pir^2+2pirh)

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

2 π r

Solution steps

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

Treat

r

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial h} (2 π r^{2}) = 0

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

= 0 + 2 π r

Simplify

= 2 π r

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What is (\partial)/(\partial h)(2pir^2+2pirh) ?
The answer to (\partial)/(\partial h)(2pir^2+2pirh) is 2pir