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

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

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

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

y^{2}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= y^{2} \cdot 1

Simplify

= y^{2}

\int_{1}^{9} \frac{1}{2 x ^{2}} d x

x^{2} y^{^{''}} + 2 x y^{^{'}} - 12 y = 0, y (1) = - 1, y^{^{'}} (1) = 10

\frac{d x}{d y} = - \frac{4 y ^{2} + 6 x y}{3 y ^{2} + 2 x}

x \to 2 lim (x^{4})

f (x) = \frac{2}{x - 3}

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