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x+9/x
The derivative of the function/ x+9/x

Derivative of x+9/x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
    9
x + -
    x
$$x + \frac{9}{x}$$ 
x + 9/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] 
    9 
1 - --
     2
    x
$$1 - \frac{9}{x^{2}}$$
Simplify
The second derivative [src] 
18
--
 3
x
$$\frac{18}{x^{3}}$$
Simplify
The third derivative [src] 
-54 
----
  4 
 x
$$- \frac{54}{x^{4}}$$
Simplify
The graph
Derivative of x+9/x
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