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

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

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

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

3 x^{2} y^{2}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 3 x^{2} y^{2}

\int_{1}^{0} (- 9 x) d x

\frac{\partial}{\partial t} (ln (x + 2 c t))

\int_{- 1}^{2} ∣ 2 x - 3 ∣ d x

y^{^{''}} + 36 y = 0

\int (cos (x) sin^{2} (x)) d x

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