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cschx
The derivative of the function/ cschx

Derivative of cschx

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

The graph:

from to

Piecewise:

The solution

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