What is the derivative of sqrt(y) ?

The derivative of sqrt(y) is 1/(2sqrt(y))

What is the first derivative of sqrt(y) ?

The first derivative of sqrt(y) is 1/(2sqrt(y))

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derivative of

y

\frac{1}{2 y}

Solution steps

\frac{d}{d y} (y)

Apply radical rule:

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

= \frac{d}{d 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{d}{d x} (\frac{( - 3 x ^{2} )}{( ( x ^{2} - 2 x + 1 ) )})

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What is the derivative of sqrt(y) ?
The derivative of sqrt(y) is 1/(2sqrt(y))
What is the first derivative of sqrt(y) ?
The first derivative of sqrt(y) is 1/(2sqrt(y))