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

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

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

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

- 4 x^{3}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= - 4 x^{3} \cdot 1

Simplify

= - 4 x^{3}

\frac{d}{d x} (3 d x)

\frac{\partial}{\partial z} (ln (\frac{x y}{y ^{2} + z ^{2}}))

y^{2} = x, y = x - 2

\frac{d}{d x} (x + y + e^{x y})

y^{^{'}} - y = e^{3 t}

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