What is (\partial)/(\partial x)((1x,3y,4z)*(1,2,3)) ?

The answer to (\partial)/(\partial x)((1x,3y,4z)*(1,2,3)) is (1,2,3)(1,3y,4z*1)

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(\partial)/(\partial x)((1x,3y,4z)*(1,2,3))

\frac{\partial}{\partial x} ((1 x, 3 y, 4 z) \cdot (1, 2, 3))

(1, 2, 3) (1, 3 y, 4 z \cdot 1)

Solution steps

\frac{\partial}{\partial x} ((1 \cdot x, 3 y, 4 z) (1, 2, 3))

Treat

y, z

as constants

Take the constant out:

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

= (1, 2, 3) \frac{\partial}{\partial x} (1 \cdot x, 3 y, 4 z)

Take the constant out:

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

= (1, 2, 3) (1, 3 y, 4 z \frac{\partial}{\partial x} (x))

Apply the common derivative:

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

= (1, 2, 3) (1, 3 y, 4 z \cdot 1)

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What is (\partial)/(\partial x)((1x,3y,4z)*(1,2,3)) ?
The answer to (\partial)/(\partial x)((1x,3y,4z)*(1,2,3)) is (1,2,3)(1,3y,4z*1)