What is (\partial)/(\partial x)(3x+6y) ?

The answer to (\partial)/(\partial x)(3x+6y) is 3

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(\partial)/(\partial x)(3x+6y)

\frac{\partial}{\partial x} (3 x + 6 y)

3

Solution steps

\frac{\partial}{\partial x} (3 x + 6 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (3 x) + \frac{\partial}{\partial x} (6 y)

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

\frac{\partial}{\partial x} (6 y) = 0

= 3 + 0

Simplify

= 3

x \to 0 - lim (\frac{3}{x ^{2}})

y = x^{2}, y = x + 2, y = 0

\int \frac{x + 3}{x ^{2} + 9} d x

6 t - 4 t^{3} + 9

\int \frac{16 x ^{3}}{4 - x ^{2}} d x

What is (\partial)/(\partial x)(3x+6y) ?
The answer to (\partial)/(\partial x)(3x+6y) is 3