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

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

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

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

4 x y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 4 y x + 0

Simplify

= 4 x y

(0, 2), (1, 0)

\frac{4 s e ^{- 2 s}}{3 s ^{2} + 12}

\frac{d y}{d t} = y + 2 sin (t) + 1

\int \frac{2}{2 x} d x

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

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