Derivative of e^arcsin2/x

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 asin(2)
E       
--------
   x

$$\frac{e^{\operatorname{asin}{\left(2 \right)}}}{x}$$

E^asin(2)/x

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $\frac{1}{x}$ goes to $- \frac{1}{x^{2}}$
So, the result is: $- \frac{e^{\operatorname{asin}{\left(2 \right)}}}{x^{2}}$

The answer is:

$- \frac{e^{\operatorname{asin}{\left(2 \right)}}}{x^{2}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

  asin(2) 
-e        
----------
     2    
    x

$$- \frac{e^{\operatorname{asin}{\left(2 \right)}}}{x^{2}}$$

Simplify

The second derivative [src]

   asin(2)
2*e       
----------
     3    
    x

$$\frac{2 e^{\operatorname{asin}{\left(2 \right)}}}{x^{3}}$$

Simplify

The third derivative [src]

    asin(2)
-6*e       
-----------
      4    
     x

$$- \frac{6 e^{\operatorname{asin}{\left(2 \right)}}}{x^{4}}$$

Simplify