Sr Examen

Otras calculadoras

y=atan(secx+tanx)
Derivada de la función/ secx+tanx/ y=atan(secx+tanx)

Derivada de y=atan(secx+tanx)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
atan(sec(x) + tan(x))
atan⁡(tan⁡(x)+sec⁡(x))\operatorname{atan}{\left(\tan{\left(x \right)} + \sec{\left(x \right)} \right)} 
atan(sec(x) + tan(x))
Gráfica
02468-8-6-4-2-10105-5
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
       2                   
1 + tan (x) + sec(x)*tan(x)
---------------------------
                        2  
   1 + (sec(x) + tan(x))
tan⁡2(x)+tan⁡(x)sec⁡(x)+1(tan⁡(x)+sec⁡(x))2+1\frac{\tan^{2}{\left(x \right)} + \tan{\left(x \right)} \sec{\left(x \right)} + 1}{\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1}
Simplificar
Segunda derivada [src] 
                                                                                                2                  
                                                                   /       2                   \                   
   2             /       2   \            /       2   \          2*\1 + tan (x) + sec(x)*tan(x)/ *(sec(x) + tan(x))
tan (x)*sec(x) + \1 + tan (x)/*sec(x) + 2*\1 + tan (x)/*tan(x) - --------------------------------------------------
                                                                                                    2              
                                                                               1 + (sec(x) + tan(x))               
-------------------------------------------------------------------------------------------------------------------
                                                                    2                                              
                                               1 + (sec(x) + tan(x))
2(tan⁡2(x)+1)tan⁡(x)+(tan⁡2(x)+1)sec⁡(x)+tan⁡2(x)sec⁡(x)−2(tan⁡(x)+sec⁡(x))(tan⁡2(x)+tan⁡(x)sec⁡(x)+1)2(tan⁡(x)+sec⁡(x))2+1(tan⁡(x)+sec⁡(x))2+1\frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \sec{\left(x \right)} + \tan^{2}{\left(x \right)} \sec{\left(x \right)} - \frac{2 \left(\tan{\left(x \right)} + \sec{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + \tan{\left(x \right)} \sec{\left(x \right)} + 1\right)^{2}}{\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1}}{\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1}
Simplificar
Tercera derivada [src] 
                                                                   3                                                                                                               3                                                                                                                     
               2                      /       2                   \                                                                                 2 /       2                   \                        /       2                   \ /   2             /       2   \            /       2   \       \
  /       2   \       3             2*\1 + tan (x) + sec(x)*tan(x)/         2    /       2   \     /       2   \                 8*(sec(x) + tan(x)) *\1 + tan (x) + sec(x)*tan(x)/    6*(sec(x) + tan(x))*\1 + tan (x) + sec(x)*tan(x)/*\tan (x)*sec(x) + \1 + tan (x)/*sec(x) + 2*\1 + tan (x)/*tan(x)/
2*\1 + tan (x)/  + tan (x)*sec(x) - -------------------------------- + 4*tan (x)*\1 + tan (x)/ + 5*\1 + tan (x)/*sec(x)*tan(x) + --------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------
                                                              2                                                                                                       2                                                                                   2                                              
                                         1 + (sec(x) + tan(x))                                                                                /                     2\                                                               1 + (sec(x) + tan(x))                                               
                                                                                                                                              \1 + (sec(x) + tan(x)) /                                                                                                                                   
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                               2                                                                                                                                         
                                                                                                                                          1 + (sec(x) + tan(x))
2(tan⁡2(x)+1)2+4(tan⁡2(x)+1)tan⁡2(x)+5(tan⁡2(x)+1)tan⁡(x)sec⁡(x)+tan⁡3(x)sec⁡(x)−6(tan⁡(x)+sec⁡(x))(2(tan⁡2(x)+1)tan⁡(x)+(tan⁡2(x)+1)sec⁡(x)+tan⁡2(x)sec⁡(x))(tan⁡2(x)+tan⁡(x)sec⁡(x)+1)(tan⁡(x)+sec⁡(x))2+1−2(tan⁡2(x)+tan⁡(x)sec⁡(x)+1)3(tan⁡(x)+sec⁡(x))2+1+8(tan⁡(x)+sec⁡(x))2(tan⁡2(x)+tan⁡(x)sec⁡(x)+1)3((tan⁡(x)+sec⁡(x))2+1)2(tan⁡(x)+sec⁡(x))2+1\frac{2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 5 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \sec{\left(x \right)} + \tan^{3}{\left(x \right)} \sec{\left(x \right)} - \frac{6 \left(\tan{\left(x \right)} + \sec{\left(x \right)}\right) \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \left(\tan^{2}{\left(x \right)} + 1\right) \sec{\left(x \right)} + \tan^{2}{\left(x \right)} \sec{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + \tan{\left(x \right)} \sec{\left(x \right)} + 1\right)}{\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1} - \frac{2 \left(\tan^{2}{\left(x \right)} + \tan{\left(x \right)} \sec{\left(x \right)} + 1\right)^{3}}{\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1} + \frac{8 \left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} \left(\tan^{2}{\left(x \right)} + \tan{\left(x \right)} \sec{\left(x \right)} + 1\right)^{3}}{\left(\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1\right)^{2}}}{\left(\tan{\left(x \right)} + \sec{\left(x \right)}\right)^{2} + 1}
Simplificar
Gráfico
Derivada de y=atan(secx+tanx)
    © Sr Examen – Калькулятор