What is (\partial)/(\partial y)(x+3y) ?

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

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(\partial)/(\partial y)(x+3y)

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

3

Solution steps

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

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

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

= 0 + 3

Simplify

= 3

(- 1.3) (3.5)

g (x) = ln^{3} (x)

y = \frac{5 x}{2 ^{x}}, at x = 2

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

\frac{d}{d x} (\frac{6 x ^{5} - 7 x}{x ^{4} - 8})

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