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

The answer to (\partial)/(\partial v)(u+v) is 1

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

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

1

Solution steps

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

Treat

u

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 1

Simplify

= 1

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What is (\partial)/(\partial v)(u+v) ?
The answer to (\partial)/(\partial v)(u+v) is 1