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

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

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

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

2

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 2

Simplify

= 2

\frac{d}{d x} (1^{x})

f (x) = a x + b, (0, 4)

f (x) = (2 + 4 x) (6 - 5 x), at x = 1

\int_{- 2}^{- 4} (- 4)^{- 3} d x

\int_{- 1}^{1} x d x

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