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

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

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

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

y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= y + 0

Simplify

= y

x \to 2 lim (- x^{2} + b x - 1)

\frac{d}{d x} (4 x^{2} - 11 x - \frac{5}{x ^{3}})

x \to 0 lim (cos (4 x))

(x^{2} + 1) y^{^{'}} + 4 x (y - 1) = 0

49 - x^{2}

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