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

The answer to (\partial)/(\partial y)(3x+y) is 1

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

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

1

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 1

Simplify

= 1

\int \frac{23}{23 + e ^{x}} d x

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

\frac{d}{d x} (sin^{l n (x)} (3 x))

\int sin (a t) d t

\frac{d}{d x} (e^{3 x} + 10 e^{2 x})

What is (\partial)/(\partial y)(3x+y) ?
The answer to (\partial)/(\partial y)(3x+y) is 1