What is the derivative of (x^{1/2}) ?

The derivative of (x^{1/2}) is 1/(2x^{1/2)}

What is the first derivative of (x^{1/2}) ?

The first derivative of (x^{1/2}) is 1/(2x^{1/2)}

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\frac{d}{d x} ((x)^{\frac{1}{2}})

\frac{1}{2 x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} ((x)^{\frac{1}{2}})

Apply the Power Rule:

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

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

Simplify

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

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

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

\frac{e ^{- 4 s}}{s ^{2} + 4 s + 3}

- 2 x + 3

y^{^{'}} = \frac{x - y}{2}

y = 17 - x^{2}, y = - 2 x + 14

What is the derivative of (x^{1/2}) ?
The derivative of (x^{1/2}) is 1/(2x^{1/2)}
What is the first derivative of (x^{1/2}) ?
The first derivative of (x^{1/2}) is 1/(2x^{1/2)}