What is (\partial)/(\partial x)((4x)/(y^3)) ?

The answer to (\partial)/(\partial x)((4x)/(y^3)) is 4/(y^3)

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(\partial)/(\partial x)((4x)/(y^3))

\frac{\partial}{\partial x} (\frac{4 x}{y ^{3}})

\frac{4}{y ^{3}}

Solution steps

\frac{\partial}{\partial x} (\frac{4 x}{y ^{3}})

Treat

y

as a constant

Take the constant out:

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

= \frac{4}{y ^{3}} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= \frac{4}{y ^{3}} \cdot 1

Simplify

= \frac{4}{y ^{3}}

x - y d x + x d y = 0

\int_{0}^{- \frac{π}{3}} x cos (3 x) d x

\int_{1}^{4} \frac{5}{x} d x

\int_{1}^{e} 5 t^{2} ln (t) d t

\frac{d x}{d t} = x - x^{2}, x (0) = 2

What is (\partial)/(\partial x)((4x)/(y^3)) ?
The answer to (\partial)/(\partial x)((4x)/(y^3)) is 4/(y^3)