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

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

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

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

2

Solution steps

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

Treat

x, z

as constants

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial y} (x^{2}) = 0

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

\frac{\partial}{\partial y} (2 z) = 0

= 0 + 2 + 0

Simplify

= 2

c^{^{'}}

\frac{d ^{4}}{d x ^{4}} (3 x^{4})

\frac{4}{x + 1}

\int (12 x + 2) d x

\frac{\partial}{\partial x} (e^{9 x z})

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