What is (\partial)/(\partial y)(3+2xy) ?

The answer to (\partial)/(\partial y)(3+2xy) is 2x

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(\partial)/(\partial y)(3+2xy)

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

2 x

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (3) + \frac{\partial}{\partial y} (2 x y)

\frac{\partial}{\partial y} (3) = 0

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

= 0 + 2 x

Simplify

= 2 x

5 x, 3 x^{2}

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

\frac{\partial}{\partial u} (tan (\frac{u}{v}))

\int \frac{5 x - 2}{x ^{2} - x} d x

y = x^{2}, y = 12 - x

What is (\partial)/(\partial y)(3+2xy) ?
The answer to (\partial)/(\partial y)(3+2xy) is 2x