What is (\partial)/(\partial t)((t)(v^6+uvw)) ?

The answer to (\partial)/(\partial t)((t)(v^6+uvw)) is v^6+vuw

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(\partial)/(\partial t)((t)(v^6+uvw))

\frac{\partial}{\partial t} ((t) (v^{6} + uv w))

v^{6} + vu w

Solution steps

\frac{\partial}{\partial t} ((t) (v^{6} + uv w))

Treat

v, u, w

as constants

Take the constant out:

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

= (v^{6} + uv w) \frac{\partial}{\partial t} (t)

Apply the common derivative:

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

= (v^{6} + uv w) \cdot 1

Simplify

= v^{6} + vu w

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What is (\partial)/(\partial t)((t)(v^6+uvw)) ?
The answer to (\partial)/(\partial t)((t)(v^6+uvw)) is v^6+vuw