Derivada de а*arccosht

Ha introducido [src]

a*acosh(t)

$$a \operatorname{acosh}{\left(t \right)}$$

a*acosh(t)

Primera derivada [src]

     a      
------------
   _________
  /       2 
\/  -1 + t

$$\frac{a}{\sqrt{t^{2} - 1}}$$

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Segunda derivada [src]

   -a*t     
------------
         3/2
/      2\   
\-1 + t /

$$- \frac{a t}{\left(t^{2} - 1\right)^{\frac{3}{2}}}$$

Simplificar

Tercera derivada [src]

  /          2 \
  |       3*t  |
a*|-1 + -------|
  |           2|
  \     -1 + t /
----------------
           3/2  
  /      2\     
  \-1 + t /

$$\frac{a \left(\frac{3 t^{2}}{t^{2} - 1} - 1\right)}{\left(t^{2} - 1\right)^{\frac{3}{2}}}$$

Simplificar