Mister Exam

Derivative of x+log(x)

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            
$$\frac{d}{d x} \left(x + \log{\left(x \right)}\right)$$
Detail solution
  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. The derivative of is .

    The result is:

  2. Now simplify:


The answer is:

The graph
The first derivative [src]
    1
1 + -
    x
$$1 + \frac{1}{x}$$
The second derivative [src]
-1 
---
  2
 x 
$$- \frac{1}{x^{2}}$$
The third derivative [src]
2 
--
 3
x 
$$\frac{2}{x^{3}}$$
The graph
Derivative of x+log(x)