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cos(acot(5*t))
Derivada de la función/ cos(acot(5*t))

Derivada de cos(acot(5*t))

Función f() - derivada -er orden en el punto
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Solución

Ha introducido [src] 
cos(acot(5*t))
cos⁡(acot⁡(5t))\cos{\left(\operatorname{acot}{\left(5 t \right)} \right)} 
cos(acot(5*t))
Gráfica
02468-8-6-4-2-1010-1010
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Trazar el gráfico f'(x)
Primera derivada [src] 
              1               
------------------------------
                   ___________
  /        2\     /       1   
t*\1 + 25*t /*   /  1 + ----- 
                /           2 
              \/        25*t
1t1+125t2(25t2+1)\frac{1}{t \sqrt{1 + \frac{1}{25 t^{2}}} \left(25 t^{2} + 1\right)}
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Segunda derivada [src] 
  1        50              1        
- -- - --------- + -----------------
   2           2       4 /      1  \
  t    1 + 25*t    25*t *|1 + -----|
                         |        2|
                         \    25*t /
------------------------------------
                     ___________    
    /        2\     /       1       
    \1 + 25*t /*   /  1 + -----     
                  /           2     
                \/        25*t
−5025t2+1−1t2+125t4(1+125t2)1+125t2(25t2+1)\frac{- \frac{50}{25 t^{2} + 1} - \frac{1}{t^{2}} + \frac{1}{25 t^{4} \left(1 + \frac{1}{25 t^{2}}\right)}}{\sqrt{1 + \frac{1}{25 t^{2}}} \left(25 t^{2} + 1\right)}
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Tercera derivada [src] 
2          50           5000*t             1                    3                        4             
-- + ------------- + ------------ - ---------------- + ------------------- - --------------------------
 3     /        2\              2      5 /      1  \                     2    3 /        2\ /      1  \
t    t*\1 + 25*t /   /        2\    5*t *|1 + -----|        7 /      1  \    t *\1 + 25*t /*|1 + -----|
                     \1 + 25*t /         |        2|   625*t *|1 + -----|                   |        2|
                                         \    25*t /          |        2|                   \    25*t /
                                                              \    25*t /                              
-------------------------------------------------------------------------------------------------------
                                                       ___________                                     
                                      /        2\     /       1                                        
                                      \1 + 25*t /*   /  1 + -----                                      
                                                    /           2                                      
                                                  \/        25*t
5000t(25t2+1)2+50t(25t2+1)+2t3−4t3(1+125t2)(25t2+1)−15t5(1+125t2)+3625t7(1+125t2)21+125t2(25t2+1)\frac{\frac{5000 t}{\left(25 t^{2} + 1\right)^{2}} + \frac{50}{t \left(25 t^{2} + 1\right)} + \frac{2}{t^{3}} - \frac{4}{t^{3} \left(1 + \frac{1}{25 t^{2}}\right) \left(25 t^{2} + 1\right)} - \frac{1}{5 t^{5} \left(1 + \frac{1}{25 t^{2}}\right)} + \frac{3}{625 t^{7} \left(1 + \frac{1}{25 t^{2}}\right)^{2}}}{\sqrt{1 + \frac{1}{25 t^{2}}} \left(25 t^{2} + 1\right)}
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Gráfico
Derivada de cos(acot(5*t))
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