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x-lnx
The derivative of the function/ x-lnx

Derivative of x-lnx

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
x - log(x)
$$x - \log{\left(x \right)}$$ 
d             
--(x - log(x))
dx
$$\frac{d}{d x} \left(x - \log{\left(x \right)}\right)$$
Transform
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. The derivative of is .

      So, the result is:

    The result is:

  2. Now simplify:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    1
1 - -
    x
$$1 - \frac{1}{x}$$
Simplify
The second derivative [src] 
1 
--
 2
x
$$\frac{1}{x^{2}}$$
Simplify
The third derivative [src] 
-2 
---
  3
 x
$$- \frac{2}{x^{3}}$$
Simplify
The graph
Derivative of x-lnx
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