What is (\partial)/(\partial x)(6x^2y) ?

The answer to (\partial)/(\partial x)(6x^2y) is 12xy

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(\partial)/(\partial x)(6x^2y)

\frac{\partial}{\partial x} (6 x^{2} y)

12 x y

Solution steps

\frac{\partial}{\partial x} (6 x^{2} y)

Treat

y

as a constant

Take the constant out:

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

= 6 y \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= 6 y \cdot 2 x^{2 - 1}

Simplify

= 12 x y

d y = \frac{x + 6}{x + 1} d x

y = 4 sin (5 x - 2)

(t^{2} + 1) \frac{d y}{d t} = y t - y

n = 1 \sum \infty \frac{1}{n 8 ^{n}}

\int \frac{1}{3 + 25 x ^{2}} d x

What is (\partial)/(\partial x)(6x^2y) ?
The answer to (\partial)/(\partial x)(6x^2y) is 12xy