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

Derivada de y=arcsin(tgx)

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

Gráfico:

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Solución

Ha introducido [src] 
asin(tan(x))
asin⁡(tan⁡(x))\operatorname{asin}{\left(\tan{\left(x \right)} \right)} 
asin(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=arcsin(tgx)
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