What is (\partial)/(\partial x)(2x+2xy) ?

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

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(\partial)/(\partial x)(2x+2xy)

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

2 + 2 y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (2 x) = 2

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

= 2 + 2 y

(x + 2 y) d x + (2 x + y) d y = 0

\int (x^{2} + 3)^{5} d x

\int 42 sec^{4} (x) d x

x^{2}, 0, 2

\int x \frac{1}{1 - x ^{2}} d x

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