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

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

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(\partial)/(\partial x)(-xy^2)

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

- y^{2}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= - y^{2} \cdot 1

Simplify

= - y^{2}

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