Mister Exam

Other calculators

The derivative of the function/ ax^(-5)

Derivative of ax^(-5)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
a 
--
 5
x
$$\frac{a}{x^{5}}$$ 
d /a \
--|--|
dx| 5|
  \x /
$$\frac{\partial}{\partial x} \frac{a}{x^{5}}$$
Transform
Detail solution

  1. 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 answer is:

The first derivative [src] 
-5*a
----
  6 
 x
$$- \frac{5 a}{x^{6}}$$
Simplify
The second derivative [src] 
30*a
----
  7 
 x
$$\frac{30 a}{x^{7}}$$
Simplify
The third derivative [src] 
-210*a
------
   8  
  x
$$- \frac{210 a}{x^{8}}$$
Simplify
    © Mister Exam – Calculator