What is (\partial)/(\partial x)(x^2*y*z) ?

The answer to (\partial)/(\partial x)(x^2*y*z) is 2xyz

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(\partial)/(\partial x)(x^2yz)

\frac{\partial}{\partial x} (x^{2} \cdot y \cdot z)

2 x yz

Solution steps

\frac{\partial}{\partial x} (x^{2} yz)

Treat

y, z

as constants

Take the constant out:

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

= yz \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= yz \cdot 2 x^{2 - 1}

Simplify

= 2 x yz

What is (\partial)/(\partial x)(x^2*y*z) ?
The answer to (\partial)/(\partial x)(x^2*y*z) is 2xyz