What is the derivative of y=x^{1/2} ?

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

What is the first derivative of y=x^{1/2} ?

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

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derivative of

y = 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}}}

f (x) = 2 x + 5, at x = 2

n = 0 \sum \infty \frac{10 0 ^{n}}{n !}

\frac{1 - 2 s}{s ^{2} + 4 s + 5}

\frac{d}{d x} (2 sin (8 x) cos (x))

\frac{d}{d x} ((\frac{x ^{3}}{x ^{4} - 2 x})^{3})

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