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x-sqrt(x)
The derivative of the function/ x-sqrt(x)

Derivative of x-sqrt(x)

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
      ___
x - \/ x
$$- \sqrt{x} + x$$ 
x - sqrt(x)
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
       1   
1 - -------
        ___
    2*\/ x
$$1 - \frac{1}{2 \sqrt{x}}$$
Simplify
The second derivative [src] 
  1   
------
   3/2
4*x
$$\frac{1}{4 x^{\frac{3}{2}}}$$
Simplify
The third derivative [src] 
 -3   
------
   5/2
8*x
$$- \frac{3}{8 x^{\frac{5}{2}}}$$
Simplify
The graph
Derivative of x-sqrt(x)
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