What is (\partial)/(\partial u)(u^2v^3) ?

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

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(\partial)/(\partial u)(u^2v^3)

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

2 u v^{3}

Solution steps

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

Treat

v

as a constant

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= v^{3} \cdot 2 u^{2 - 1}

Simplify

= 2 u v^{3}

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