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

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

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

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

- \frac{1}{2 y}

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - \frac{1}{2 y}

Simplify

= - \frac{1}{2 y}

f (x) = \frac{2}{5 x + 3}, at x = - 1

\int x^{2} - 5 d x

\frac{54}{x ^{4}}

e^{- t + 7}

x^{^{''}} + \frac{1}{4} x^{^{'}} + 2 x = 0

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