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y=arccos(tg*e^x-1)
Derivada de la función/ e^x-1/ arccos/ y=arccos(tg*e^x-1)

Derivada de y=arccos(tg*e^x-1)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
    /   x       \
acos\tan (E) - 1/
acos⁡(tan⁡x(e)−1)\operatorname{acos}{\left(\tan^{x}{\left(e \right)} - 1 \right)} 
acos(tan(E)^x - 1)
Gráfica
02468-8-6-4-2-10103.113.13
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
     x                  
 -tan (E)*log(tan(E))   
------------------------
    ____________________
   /                  2 
  /      /   x       \  
\/   1 - \tan (E) - 1/
−log⁡(tan⁡(e))tan⁡x(e)1−(tan⁡x(e)−1)2- \frac{\log{\left(\tan{\left(e \right)} \right)} \tan^{x}{\left(e \right)}}{\sqrt{1 - \left(\tan^{x}{\left(e \right)} - 1\right)^{2}}}
Simplificar
Segunda derivada [src] 
                      /       x    /        x   \\ 
    2            x    |    tan (E)*\-1 + tan (E)/| 
-log (tan(E))*tan (E)*|1 + ----------------------| 
                      |                       2  | 
                      |         /        x   \   | 
                      \     1 - \-1 + tan (E)/   / 
---------------------------------------------------
                 _____________________             
                /                   2              
               /      /        x   \               
             \/   1 - \-1 + tan (E)/
−(1+(tan⁡x(e)−1)tan⁡x(e)1−(tan⁡x(e)−1)2)log⁡(tan⁡(e))2tan⁡x(e)1−(tan⁡x(e)−1)2- \frac{\left(1 + \frac{\left(\tan^{x}{\left(e \right)} - 1\right) \tan^{x}{\left(e \right)}}{1 - \left(\tan^{x}{\left(e \right)} - 1\right)^{2}}\right) \log{\left(\tan{\left(e \right)} \right)}^{2} \tan^{x}{\left(e \right)}}{\sqrt{1 - \left(\tan^{x}{\left(e \right)} - 1\right)^{2}}}
Simplificar
Tercera derivada [src] 
                      /                                                                     2          \ 
                      |            2*x                x    /        x   \     /        x   \     2*x   | 
    3            x    |         tan   (E)        3*tan (E)*\-1 + tan (E)/   3*\-1 + tan (E)/ *tan   (E)| 
-log (tan(E))*tan (E)*|1 + ------------------- + ------------------------ + ---------------------------| 
                      |                      2                       2                              2  | 
                      |        /        x   \          /        x   \          /                  2\   | 
                      |    1 - \-1 + tan (E)/      1 - \-1 + tan (E)/          |    /        x   \ |   | 
                      \                                                        \1 - \-1 + tan (E)/ /   / 
---------------------------------------------------------------------------------------------------------
                                            _____________________                                        
                                           /                   2                                         
                                          /      /        x   \                                          
                                        \/   1 - \-1 + tan (E)/
−(1+3(tan⁡x(e)−1)tan⁡x(e)1−(tan⁡x(e)−1)2+tan⁡2x(e)1−(tan⁡x(e)−1)2+3(tan⁡x(e)−1)2tan⁡2x(e)(1−(tan⁡x(e)−1)2)2)log⁡(tan⁡(e))3tan⁡x(e)1−(tan⁡x(e)−1)2- \frac{\left(1 + \frac{3 \left(\tan^{x}{\left(e \right)} - 1\right) \tan^{x}{\left(e \right)}}{1 - \left(\tan^{x}{\left(e \right)} - 1\right)^{2}} + \frac{\tan^{2 x}{\left(e \right)}}{1 - \left(\tan^{x}{\left(e \right)} - 1\right)^{2}} + \frac{3 \left(\tan^{x}{\left(e \right)} - 1\right)^{2} \tan^{2 x}{\left(e \right)}}{\left(1 - \left(\tan^{x}{\left(e \right)} - 1\right)^{2}\right)^{2}}\right) \log{\left(\tan{\left(e \right)} \right)}^{3} \tan^{x}{\left(e \right)}}{\sqrt{1 - \left(\tan^{x}{\left(e \right)} - 1\right)^{2}}}
Simplificar
Gráfico
Derivada de y=arccos(tg*e^x-1)
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