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

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

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

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

6

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 6 + 0

Simplify

= 6

\int x^{2} + 1 d x

\frac{d}{d x} (\frac{6 x + 4 x ^{2}}{( 3 + 4 x ) ^{2}})

y^{^{'}} + 5 e^{x + y} = 0

f (x) = \frac{x}{4 + x}

\int \frac{1}{( x + 1 ) ( x ^{2} + 1 )} d x

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