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Derivative of:
Derivative of x^x^x
Derivative of x^-11
Derivative of (x+5)/(x+1)
Derivative of x^(4/3)
Integral of d{x}:
y^(1/2)
y^(1/2)
Graphing y =:
y^(1/2)
Identical expressions
y^(one / two)
y to the power of (1 divide by 2)
y to the power of (one divide by two)
y(1/2)
y1/2
y^1/2
y^(1 divide by 2)
Similar expressions
a*(cos2y)^(1/2)

The derivative of the function/ y^(1/2)

Derivative of y^(1/2)

The solution

You have entered [src]

  ___
\/ y

$$\sqrt{y}$$

sqrt(y)

Detail solution

Apply the power rule: $\sqrt{y}$ goes to $\frac{1}{2 \sqrt{y}}$

The answer is:

$\frac{1}{2 \sqrt{y}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

   1   
-------
    ___
2*\/ y

$$\frac{1}{2 \sqrt{y}}$$

Simplify

The second derivative [src]

 -1   
------
   3/2
4*y

$$- \frac{1}{4 y^{\frac{3}{2}}}$$

Simplify

The third derivative [src]

  3   
------
   5/2
8*y

$$\frac{3}{8 y^{\frac{5}{2}}}$$

Simplify

The graph

Derivative of y^(1/2)