Derivative of sqrtx²

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     2
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\/ x

$$\left(\sqrt{x}\right)^{2}$$

  /     2\
d |  ___ |
--\\/ x  /
dx

$$\frac{d}{d x} \left(\sqrt{x}\right)^{2}$$

Transform

Detail solution

Let $u = \sqrt{x}$ .
Apply the power rule: $u^{2}$ goes to $2 u$
Then, apply the chain rule. Multiply by $\frac{d}{d x} \sqrt{x}$ :
1. Apply the power rule: $\sqrt{x}$ goes to $\frac{1}{2 \sqrt{x}}$
The result of the chain rule is:

$1$

The answer is:

$1$

The first derivative [src]

x
-
x

$$\frac{x}{x}$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify