What is (\partial)/(\partial x)(9x+y+7xy) ?

The answer to (\partial)/(\partial x)(9x+y+7xy) is 7y+9

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(\partial)/(\partial x)(9x+y+7xy)

\frac{\partial}{\partial x} (9 x + y + 7 x y)

7 y + 9

Solution steps

\frac{\partial}{\partial x} (9 x + y + 7 x y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (9 x) + \frac{\partial}{\partial x} (y) + \frac{\partial}{\partial x} (7 x y)

\frac{\partial}{\partial x} (9 x) = 9

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

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

= 9 + 0 + 7 y

Simplify

= 7 y + 9

What is (\partial)/(\partial x)(9x+y+7xy) ?
The answer to (\partial)/(\partial x)(9x+y+7xy) is 7y+9