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

The answer to (\partial)/(\partial y)(y+x+2) is 1

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

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

1

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial y} (y) = 1

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

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

= 1 + 0 + 0

Simplify

= 1

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

13 + 4 t

t \cdot cos (2 t)

\frac{\partial}{\partial y} (y - 1)

\frac{\partial}{\partial x} (4 y \cdot e^{5 x^{2} - 2 y})

What is (\partial)/(\partial y)(y+x+2) ?
The answer to (\partial)/(\partial y)(y+x+2) is 1