What is (\partial)/(\partial u)(uv^2+w^3) ?

The answer to (\partial)/(\partial u)(uv^2+w^3) is v^2

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(\partial)/(\partial u)(uv^2+w^3)

\frac{\partial}{\partial u} (u v^{2} + w^{3})

v^{2}

Solution steps

\frac{\partial}{\partial u} (u v^{2} + w^{3})

Treat

v, w

as constants

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial u} (u v^{2}) + \frac{\partial}{\partial u} (w^{3})

\frac{\partial}{\partial u} (u v^{2}) = v^{2}

\frac{\partial}{\partial u} (w^{3}) = 0

= v^{2} + 0

Simplify

= v^{2}

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

\int_{1}^{2} (x + 1) d x

\int x (4 x^{2} + 3)^{3} d x

\frac{d}{d x} (x ln (3 x))

y = (x^{3} + 1) (x^{2} - 2)

What is (\partial)/(\partial u)(uv^2+w^3) ?
The answer to (\partial)/(\partial u)(uv^2+w^3) is v^2