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}

f (x) = 10 x, (1, 10)

y = arccos (4 x^{2})

y = x^{2}, y = x + 2

\int (9 - x^{2})^{\frac{3}{2}} d x

\int \frac{1}{36 x ^{2} + 1} d x

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