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

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

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

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

u

Solution steps

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

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} (uv)

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

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

= 0 + u

Simplify

= u

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