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(1/x)+4x
The derivative of the function/ (1/x)+4x

Derivative of (1/x)+4x

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

The graph:

from to

Piecewise:

The solution

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