What is (\partial)/(\partial x)(x^2y) ?

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

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(\partial)/(\partial x)(x^2y)

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

2 x y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= y \cdot 2 x^{2 - 1}

Simplify

= 2 x y

\frac{d}{d x} ((e^{2 x})^{s e c (x)})

f (t) = 2 sin (t)

f (x) = \frac{3 - 2 x}{3 + 2 x}

x^{7 c o s (x)}

x \to 6 lim (2 x + 4)

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