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Derivative of:
Derivative of e^(6*x)
Derivative of -1/y
Derivative of sin^2(x^2)
Derivative of log(1+1/(x^2))
Identical expressions
(2x- one)/(three ^ zero . five)
(2x minus 1) divide by (3 to the power of 0.5)
(2x minus one) divide by (three to the power of zero . five)
(2x-1)/(30.5)
2x-1/30.5
2x-1/3^0.5
(2x-1) divide by (3^0.5)
Similar expressions
(2x+1)/(3^0.5)

The derivative of the function/ (2x-1)/(3^0.5)

Derivative of (2x-1)/(3^0.5)

The solution

You have entered [src]

2*x - 1
-------
   ___ 
 \/ 3

$$\frac{2 x - 1}{\sqrt{3}}$$

(2*x - 1)/sqrt(3)

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Differentiate $2 x - 1$ term by term:
  1. The derivative of a constant times a function is the constant times the derivative of the function.
    1. Apply the power rule: $x$ goes to $1$
    So, the result is: $2$
  2. The derivative of the constant $-1$ is zero.
  The result is: $2$
So, the result is: $2 \frac{\sqrt{3}}{3}$
Now simplify:

$\frac{2 \sqrt{3}}{3}$

The answer is:

$\frac{2 \sqrt{3}}{3}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

    ___
  \/ 3 
2*-----
    3

$$2 \frac{\sqrt{3}}{3}$$

Simplify

The second derivative [src]

$$0$$

Simplify

The third derivative [src]

$$0$$

Simplify