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

The answer to (\partial)/(\partial u)(u*v) is v

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(\partial)/(\partial u)(u*v)

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

v

Solution steps

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

Treat

v

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= v \cdot 1

Simplify

= v

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