What is (\partial)/(\partial x)(x^2y^3z) ?

The answer to (\partial)/(\partial x)(x^2y^3z) is 2xy^3z

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(\partial)/(\partial x)(x^2y^3z)

\frac{\partial}{\partial x} (x^{2} y^{3} z)

2 x y^{3} z

Solution steps

\frac{\partial}{\partial x} (x^{2} y^{3} z)

Treat

y, z

as constants

Take the constant out:

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

= y^{3} z \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= y^{3} z \cdot 2 x^{2 - 1}

Simplify

= 2 x y^{3} z

\int \frac{1}{x + x ln ( x )} d x

t^{2} y^{^{''}} - 3 t y^{^{'}} + 4 y = t^{\frac{5}{2}}

\frac{\partial}{\partial y} (x cos (yz))

\frac{d}{d x} (\frac{200}{x})

\int_{0}^{0.5} 100 x d x

What is (\partial)/(\partial x)(x^2y^3z) ?
The answer to (\partial)/(\partial x)(x^2y^3z) is 2xy^3z