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

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

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(\partial)/(\partial y)(sqrt(y))

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

\frac{1}{2 y}

Solution steps

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

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

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

Simplify

\frac{1}{2} y^{\frac{1}{2} - 1} : \frac{1}{2 y}

= \frac{1}{2 y}

\frac{4}{3} x y^{^{'}} - \frac{3}{8} y = 0

\int 2 x cos (3 x) d x

2 x ln (3 x - 4)

(- 17, - 13), (- 9, 7)

\frac{d}{d x} (\frac{ln ( 5 x )}{x})

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