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

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

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

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

y^{2} z^{3}

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

= y^{2} z^{3}

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