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

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

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

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

y^{3}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= y^{3} \cdot 1

Simplify

= y^{3}

arccos (e^{7 x})

\int_{0}^{1} \frac{x ^{3}}{x ^{2} - x - 6} d x

\frac{1}{s ^{2} + 40 s + 2000}

8 t^{2} y^{^{''}} - 16 y = 11 t^{2} - 1

cot (3 x)

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