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

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

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

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

\frac{1}{2 x}

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) = \frac{1}{2 x}

= 0 + \frac{1}{2 x}

Simplify

= \frac{1}{2 x}

x \to \infty lim (\frac{1 - 0. 8 ^{x + 1}}{1 - 0.8})

\frac{3}{( s - 3 )}

\frac{\partial}{\partial y} ((x + 2 y^{3})^{\frac{1}{3}})

\int_{0}^{l n (3)} x e^{x} d x

f (x) = - 2 x e^{- x^{2}}

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