What is (\partial)/(\partial x)(x^2yz) ?

The answer to (\partial)/(\partial x)(x^2yz) is 2xyz

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

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

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

\int \frac{x y}{x ^{2} + y ^{2} + 1} d x

\frac{d}{d x} (3 x^{4} + (2 x - 1)^{2})

\int_{1}^{4} \frac{1}{4 - x} d x

\int \frac{3 x}{( x ^{2} + 1 ) ^{2}} d x

\int \frac{2 ^{x}}{ln ( 2 )} x d x

What is (\partial)/(\partial x)(x^2yz) ?
The answer to (\partial)/(\partial x)(x^2yz) is 2xyz