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coth(x)
The derivative of the function/ coth(x)

Derivative of coth(x)

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

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The solution

You have entered [src] 
coth(x)
$$\coth{\left(x \right)}$$ 
coth(x)
The first derivative [src] 
  -1    
--------
    2   
sinh (x)
$$- \frac{1}{\sinh^{2}{\left(x \right)}}$$
Simplify
The second derivative [src] 
2*cosh(x)
---------
     3   
 sinh (x)
$$\frac{2 \cosh{\left(x \right)}}{\sinh^{3}{\left(x \right)}}$$
Simplify
The third derivative [src] 
  /          2   \
  |    3*cosh (x)|
2*|1 - ----------|
  |         2    |
  \     sinh (x) /
------------------
         2        
     sinh (x)
$$\frac{2 \left(1 - \frac{3 \cosh^{2}{\left(x \right)}}{\sinh^{2}{\left(x \right)}}\right)}{\sinh^{2}{\left(x \right)}}$$
Simplify
The graph
Derivative of coth(x)
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