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

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

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(\partial)/(\partial y)(2x+sqrt(y))

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

\frac{1}{2 y}

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial y} (2 x) = 0

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

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

Simplify

= \frac{1}{2 y}

\int 2 x (4 x^{2} - 10)^{2} d x

f (x) = - 3 x^{2} + 5 x + 2

\int_{2}^{3} \frac{x}{( x ^{2} - 3 ) ^{2}} d x

\int \frac{4}{( x ^{2} - 4 )} d x

x y^{^{'}} - y = 2 x^{2} + 2 x + 2

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