What is (\partial)/(\partial x)(6x+3y-7) ?

The answer to (\partial)/(\partial x)(6x+3y-7) is 6

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(\partial)/(\partial x)(6x+3y-7)

\frac{\partial}{\partial x} (6 x + 3 y - 7)

6

Solution steps

\frac{\partial}{\partial x} (6 x + 3 y - 7)

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} (3 y) - \frac{\partial}{\partial x} (7)

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

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

\frac{\partial}{\partial x} (7) = 0

= 6 + 0 - 0

Simplify

= 6

\frac{d}{d y} (2 e^{y})

\frac{d}{d x} (\frac{3 x ^{2}}{y ^{2}})

\int cos (x) sec (x) d x

\int_{0}^{2} 6 x d x

\int sec (8 x) tan (8 x) d x

What is (\partial)/(\partial x)(6x+3y-7) ?
The answer to (\partial)/(\partial x)(6x+3y-7) is 6