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y=arccos(tgx)
Derivada de la función/ (tgx)/ arccos/ y=arccos(tgx)

Derivada de y=arccos(tgx)

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

Gráfico:

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Solución

Ha introducido [src] 
acos(tan(x))
acos⁡(tan⁡(x))\operatorname{acos}{\left(\tan{\left(x \right)} \right)} 
acos(tan(x))
Gráfica
02468-8-6-4-2-10105-5
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Trazar el gráfico f'(x)
Primera derivada [src] 
 /       2   \  
-\1 + tan (x)/  
----------------
   _____________
  /        2    
\/  1 - tan (x)
−tan⁡2(x)+11−tan⁡2(x)- \frac{\tan^{2}{\left(x \right)} + 1}{\sqrt{1 - \tan^{2}{\left(x \right)}}}
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Segunda derivada [src] 
               /           2   \        
 /       2   \ |    1 + tan (x)|        
-\1 + tan (x)/*|2 + -----------|*tan(x) 
               |           2   |        
               \    1 - tan (x)/        
----------------------------------------
               _____________            
              /        2                
            \/  1 - tan (x)
−(2+tan⁡2(x)+11−tan⁡2(x))(tan⁡2(x)+1)tan⁡(x)1−tan⁡2(x)- \frac{\left(2 + \frac{\tan^{2}{\left(x \right)} + 1}{1 - \tan^{2}{\left(x \right)}}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{\sqrt{1 - \tan^{2}{\left(x \right)}}}
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Tercera derivada [src] 
               /                             2                  2                                  \ 
               |                /       2   \      /       2   \     2           2    /       2   \| 
 /       2   \ |         2      \1 + tan (x)/    3*\1 + tan (x)/ *tan (x)   6*tan (x)*\1 + tan (x)/| 
-\1 + tan (x)/*|2 + 6*tan (x) + -------------- + ------------------------ + -----------------------| 
               |                        2                          2                     2         | 
               |                 1 - tan (x)          /       2   \               1 - tan (x)      | 
               \                                      \1 - tan (x)/                                / 
-----------------------------------------------------------------------------------------------------
                                              _____________                                          
                                             /        2                                              
                                           \/  1 - tan (x)
−(tan⁡2(x)+1)(6tan⁡2(x)+2+(tan⁡2(x)+1)21−tan⁡2(x)+6(tan⁡2(x)+1)tan⁡2(x)1−tan⁡2(x)+3(tan⁡2(x)+1)2tan⁡2(x)(1−tan⁡2(x))2)1−tan⁡2(x)- \frac{\left(\tan^{2}{\left(x \right)} + 1\right) \left(6 \tan^{2}{\left(x \right)} + 2 + \frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{1 - \tan^{2}{\left(x \right)}} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{1 - \tan^{2}{\left(x \right)}} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan^{2}{\left(x \right)}}{\left(1 - \tan^{2}{\left(x \right)}\right)^{2}}\right)}{\sqrt{1 - \tan^{2}{\left(x \right)}}}
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Gráfico
Derivada de y=arccos(tgx)
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