What is (\partial)/(\partial x)(1+2xsqrt(y)) ?

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

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(\partial)/(\partial x)(1+2xsqrt(y))

\frac{\partial}{\partial x} (1 + 2 x y)

2 y

Solution steps

\frac{\partial}{\partial x} (1 + 2 x y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (1) = 0

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

= 0 + 2 y

Simplify

= 2 y

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