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

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

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

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

2 x y^{3}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 x y^{3}

(4, - 2), (1, 1)

\int (1 + x^{2}) 2 x d x

\int \frac{1}{x ^{2} 16 + 9 x ^{2}} d x

y^{^{''}} - 6 y = 9 t

\int 5 x^{2} + 9 d x

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