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

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

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

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

1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 1 + 0

Simplify

= 1

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

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

\frac{d}{d x} ((1 + sin (3 x))^{4})

\frac{d}{d x} ((3 cos (2 x) + sin (3 x) + 4)^{2})

y^{^{'}} - 4 y = 10 sin (2 t), y (0) = 0

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