What is (\partial)/(\partial x)(2sqrt(x)+3sqrt(z)) ?

The answer to (\partial)/(\partial x)(2sqrt(x)+3sqrt(z)) is 1/(sqrt(x))

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(\partial)/(\partial x)(2sqrt(x)+3sqrt(z))

\frac{\partial}{\partial x} (2 x + 3 z)

\frac{1}{x}

Solution steps

\frac{\partial}{\partial x} (2 x + 3 z)

Treat

z

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x) + \frac{\partial}{\partial x} (3 z)

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

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

= \frac{1}{x} + 0

Simplify

= \frac{1}{x}

What is (\partial)/(\partial x)(2sqrt(x)+3sqrt(z)) ?
The answer to (\partial)/(\partial x)(2sqrt(x)+3sqrt(z)) is 1/(sqrt(x))