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

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

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

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

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derivative of

f (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}}}

x \to 0 lim (\frac{1 - cos ( x )}{x})

\frac{d}{d x} (ln (4 sec (x)))

2 t^{2} - e^{- 1}

n = 1 \sum \infty \frac{1}{4}

f (x) = \frac{x ^{2}}{x + 2}, at x = 2

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