What is (\partial)/(\partial x)(6x+5sqrt(y)) ?

The answer to (\partial)/(\partial x)(6x+5sqrt(y)) is 6

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(\partial)/(\partial x)(6x+5sqrt(y))

\frac{\partial}{\partial x} (6 x + 5 y)

6

Solution steps

\frac{\partial}{\partial x} (6 x + 5 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} (5 y)

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

\frac{\partial}{\partial x} (5 y) = 0

= 6 + 0

Simplify

= 6

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What is (\partial)/(\partial x)(6x+5sqrt(y)) ?
The answer to (\partial)/(\partial x)(6x+5sqrt(y)) is 6