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}}}

ma c l a u r in \frac{1}{( 1 - x ^{2} )}

x \to 0 lim (\frac{( ln ( x ) ) ^{2}}{x})

y^{^{'}} = (x + y)^{2}

\frac{\partial}{\partial v} (3 u)

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

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)}