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

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

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(\partial)/(\partial x)(x^2y^2z)

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

2 x y^{2} z

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the Power Rule:

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

= y^{2} z \cdot 2 x^{2 - 1}

Simplify

= 2 x y^{2} z

(2 x^{2} - 1)^{- 1}

\int_{- 2}^{2} 1 + 100 x^{2} d x

f (x) = - cot (x)

\int (3 x^{3} + 6 x^{2} - 12 x + 5) d x

\frac{d}{d x} (\frac{9}{1 + 9 x})

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