What is (\partial)/(\partial x)(3x^2y) ?

The answer to (\partial)/(\partial x)(3x^2y) is 6xy

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(\partial)/(\partial x)(3x^2y)

\frac{\partial}{\partial x} (3 x^{2} y)

6 x y

Solution steps

\frac{\partial}{\partial x} (3 x^{2} y)

Treat

y

as a constant

Take the constant out:

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

= 3 y \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= 3 y \cdot 2 x^{2 - 1}

Simplify

= 6 x y

\frac{d}{d x} (sin (x - 2))

\frac{d}{d x} (\frac{( 4 x - 4 ) ^{5}}{( 2 x - 5 ) ^{7}})

38 e^{x^{2}} x

\int \frac{7}{5 - 6 x} d x

\frac{1}{2} x^{2} + 2 x - 2 + 35 x^{- 1}

What is (\partial)/(\partial x)(3x^2y) ?
The answer to (\partial)/(\partial x)(3x^2y) is 6xy