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

The answer to (\partial)/(\partial x)(x/(y^3)) is 1/(y^3)

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

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

\frac{1}{y ^{3}}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= \frac{1}{y ^{3}} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= \frac{1}{y ^{3}} \cdot 1

Simplify

= \frac{1}{y ^{3}}

\frac{\partial}{\partial x} (4 x sin (6 x^{2} y))

\frac{d y}{d x} = x y - x

y^{^{''}} + 2 y^{^{'}} - 3 y = 0

x \to a lim (\frac{1}{x})

\frac{d y}{d x} = 5 y^{2}

What is (\partial)/(\partial x)(x/(y^3)) ?
The answer to (\partial)/(\partial x)(x/(y^3)) is 1/(y^3)