Mister Exam

Other calculators

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
    © Mister Exam – Calculator