What is (\partial)/(\partial x)(2sqrt(x)+2sqrt(y)) ?

The answer to (\partial)/(\partial x)(2sqrt(x)+2sqrt(y)) is 1/(sqrt(x))

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(\partial)/(\partial x)(2sqrt(x)+2sqrt(y))

\frac{\partial}{\partial x} (2 x + 2 y)

\frac{1}{x}

Solution steps

\frac{\partial}{\partial x} (2 x + 2 y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x) + \frac{\partial}{\partial x} (2 y)

\frac{\partial}{\partial x} (2 x) = \frac{1}{x}

\frac{\partial}{\partial x} (2 y) = 0

= \frac{1}{x} + 0

Simplify

= \frac{1}{x}

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What is (\partial)/(\partial x)(2sqrt(x)+2sqrt(y)) ?
The answer to (\partial)/(\partial x)(2sqrt(x)+2sqrt(y)) is 1/(sqrt(x))