Derivative of 3arcsin1/x

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3*asin(1)
---------
    x

$$\frac{3 \operatorname{asin}{\left(1 \right)}}{x}$$

(3*asin(1))/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: $- \frac{3 \operatorname{asin}{\left(1 \right)}}{x^{2}}$
Now simplify:

$- \frac{3 \pi}{2 x^{2}}$

The answer is:

$- \frac{3 \pi}{2 x^{2}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-3*asin(1)
----------
     2    
    x

$$- \frac{3 \operatorname{asin}{\left(1 \right)}}{x^{2}}$$

Simplify

The second derivative [src]

6*asin(1)
---------
     3   
    x

$$\frac{6 \operatorname{asin}{\left(1 \right)}}{x^{3}}$$

Simplify

The third derivative [src]

-18*asin(1)
-----------
      4    
     x

$$- \frac{18 \operatorname{asin}{\left(1 \right)}}{x^{4}}$$

Simplify