What is the derivative of x/(sqrt(x)) ?

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

What is the first derivative of x/(sqrt(x)) ?

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

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derivative of

\frac{x}{x}

\frac{1}{2 x}

Solution steps

\frac{d}{d x} (\frac{x}{x})

Simplify

\frac{x}{x} : x

= \frac{d}{d x} (x)

Apply radical rule:

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

= \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 x}

2.6 - 3.15 t^{2} + 7.3 t^{3}

x \to 0 lim (sin (6 x))

f (θ) = 3 cos (θ)

\int \frac{1}{cos ^{2} ( t ) 1 + tan ( t )} d t

\int e^{\frac{2 x}{3}} d x

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