Mister Exam

Derivative of arcsin1/x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
asin(1)
-------
   x   
$$\frac{\operatorname{asin}{\left(1 \right)}}{x}$$
asin(1)/x
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:

  2. Now simplify:


The answer is:

The graph
The first derivative [src]
-asin(1) 
---------
     2   
    x    
$$- \frac{\operatorname{asin}{\left(1 \right)}}{x^{2}}$$
The second derivative [src]
2*asin(1)
---------
     3   
    x    
$$\frac{2 \operatorname{asin}{\left(1 \right)}}{x^{3}}$$
The third derivative [src]
-6*asin(1)
----------
     4    
    x     
$$- \frac{6 \operatorname{asin}{\left(1 \right)}}{x^{4}}$$
The graph
Derivative of arcsin1/x