What is (\partial)/(\partial x)(3xyz) ?

The answer to (\partial)/(\partial x)(3xyz) is 3yz

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(\partial)/(\partial x)(3xyz)

\frac{\partial}{\partial x} (3 x yz)

3 yz

Solution steps

\frac{\partial}{\partial x} (3 x yz)

Treat

y, z

as constants

Take the constant out:

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

= 3 yz \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= 3 yz \cdot 1

Simplify

= 3 yz

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What is (\partial)/(\partial x)(3xyz) ?
The answer to (\partial)/(\partial x)(3xyz) is 3yz