What is (\partial)/(\partial u)(u^2+v) ?

The answer to (\partial)/(\partial u)(u^2+v) is 2u

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(\partial)/(\partial u)(u^2+v)

\frac{\partial}{\partial u} (u^{2} + v)

2 u

Solution steps

\frac{\partial}{\partial u} (u^{2} + v)

Treat

v

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial u} (u^{2}) + \frac{\partial}{\partial u} (v)

\frac{\partial}{\partial u} (u^{2}) = 2 u

\frac{\partial}{\partial u} (v) = 0

= 2 u + 0

Simplify

= 2 u

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What is (\partial)/(\partial u)(u^2+v) ?
The answer to (\partial)/(\partial u)(u^2+v) is 2u