What is the derivative of u(x)=sqrt(x) ?

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

What is the first derivative of u(x)=sqrt(x) ?

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

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derivative of

u (x) = x

\frac{1}{2 x}

Solution steps

\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}

d er i v a t i v e f (x) = 3 x^{3} + 15 x^{2} + 29 x + 3

\int 4 ln (t) d t

d er i v a t i v e g (x) = sin (9 - 3 x)

d er i v a t i v e f (x) = \frac{x}{9 x ^{2} - 1}

\frac{d}{d x} (ln (\frac{x + 3}{x - 3}))

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