What is the derivative of sqrt(z) ?

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

What is the first derivative of sqrt(z) ?

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

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derivative of

z

\frac{1}{2 z}

Solution steps

\frac{d}{d z} (z)

Apply radical rule:

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

= \frac{d}{d z} (z^{\frac{1}{2}})

Apply the Power Rule:

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

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

Simplify

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

= \frac{1}{2 z}

x (x^{2} + 6) (x + 9)

f (x) = e^{4 x} cos (π x), at x = 0

cos (3 x)

\int x^{9} + 8 d x

x y^{^{'}} = 7

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