Mister Exam

Derivative of 1/x+2*x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
1      
- + 2*x
x      
$$2 x + \frac{1}{x}$$
1/x + 2*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
The first derivative [src]
    1 
2 - --
     2
    x 
$$2 - \frac{1}{x^{2}}$$
The second derivative [src]
2 
--
 3
x 
$$\frac{2}{x^{3}}$$
The third derivative [src]
-6 
---
  4
 x 
$$- \frac{6}{x^{4}}$$
The graph
Derivative of 1/x+2*x