What is (\partial)/(\partial y)(2x^4y+4) ?

The answer to (\partial)/(\partial y)(2x^4y+4) is 2x^4

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(\partial)/(\partial y)(2x^4y+4)

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

2 x^{4}

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (2 x^{4} y) + \frac{\partial}{\partial y} (4)

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

\frac{\partial}{\partial y} (4) = 0

= 2 x^{4} + 0

Simplify

= 2 x^{4}

\frac{d}{d x} (sec (0))

\int (4 - x^{2})^{\frac{1}{2}} d x

\frac{d y}{d t} = - \frac{3}{4 t}

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

y^{^{'}} = \frac{2 x}{1 + 2 y}, y (2) = 1

What is (\partial)/(\partial y)(2x^4y+4) ?
The answer to (\partial)/(\partial y)(2x^4y+4) is 2x^4