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The derivative of the function/ asinh(sqrx)

Derivative of asinh(sqrx)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
     / 2\
asinh\x /
$$\operatorname{asinh}{\left(x^{2} \right)}$$ 
asinh(x^2)
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    2*x    
-----------
   ________
  /      4 
\/  1 + x
$$\frac{2 x}{\sqrt{x^{4} + 1}}$$
Simplify
The second derivative [src] 
  /        4 \
  |     2*x  |
2*|1 - ------|
  |         4|
  \    1 + x /
--------------
    ________  
   /      4   
 \/  1 + x
$$\frac{2 \left(- \frac{2 x^{4}}{x^{4} + 1} + 1\right)}{\sqrt{x^{4} + 1}}$$
Simplify
The third derivative [src] 
     /         4 \
   3 |      6*x  |
4*x *|-5 + ------|
     |          4|
     \     1 + x /
------------------
           3/2    
   /     4\       
   \1 + x /
$$\frac{4 x^{3} \left(\frac{6 x^{4}}{x^{4} + 1} - 5\right)}{\left(x^{4} + 1\right)^{\frac{3}{2}}}$$
Simplify
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