What is the derivative of sqrt(x) ?

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

What is the first derivative of sqrt(x) ?

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

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derivative of

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}

\frac{d}{d x} (x ln (x^{18}))

\int \frac{x ^{2} + 3 x - 1}{x + 2} d x

\int_{0}^{3} (8 - 2 x) d x

\frac{\partial}{\partial y} (sin (x y) + x sin (y))

f (x) = \frac{6}{x ^{4}}

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