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

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

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

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

1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 1

Simplify

= 1

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\int 4 sin (x) - 1 + 8 x - 5 d x

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