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Derivative of:
Derivative of x^(1/4)
Derivative of -sin(x)
Derivative of sin(sqrt(x))
Derivative of sin(4*x)
Integral of d{x}:
x^(1/4)
Limit of the function:
x^(1/4)
Identical expressions
x^(one / four)
x to the power of (1 divide by 4)
x to the power of (one divide by four)
x(1/4)
x1/4
x^1/4
x^(1 divide by 4)
Similar expressions
(3x)^1/4
(1+sin(6x))^1/4
1/(sin(5x))^1/4

The derivative of the function/ x^(1/4)

Derivative of x^(1/4)

The solution

You have entered [src]

4 ___
\/ x

$$\sqrt[4]{x}$$

x^(1/4)

Detail solution

Apply the power rule: $\sqrt[4]{x}$ goes to $\frac{1}{4 x^{\frac{3}{4}}}$

The answer is:

$\frac{1}{4 x^{\frac{3}{4}}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

  1   
------
   3/4
4*x

$$\frac{1}{4 x^{\frac{3}{4}}}$$

Simplify

The second derivative [src]

  -3   
-------
    7/4
16*x

$$- \frac{3}{16 x^{\frac{7}{4}}}$$

Simplify

The third derivative [src]

   21   
--------
    11/4
64*x

$$\frac{21}{64 x^{\frac{11}{4}}}$$

Simplify

The graph

Derivative of x^(1/4)