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

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

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

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

2 π x y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= π y \cdot 2 x^{2 - 1}

Simplify

= 2 π x y

n \to \infty lim (\frac{1}{6})

\int (3 cos (3 x) - 5 sin (5 x)) d x

f (x) = 3 - x

\int_{9}^{1} (- 15 x) d x

t \to 0 lim (\frac{t ^{3} - 1}{t - 1})

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