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(xtgx+lncosx)*tg(xtgx+lncosx)+lncos(xtgx+lncosx)
Derivada de la función/ (xtgx+lncosx)*tg(xtgx+lncosx)+lncos(xtgx+lncosx)

Derivada de (xtgx+lncosx)*tg(xtgx+lncosx)+lncos(xtgx+lncosx)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
(x*tan(x) + log(cos(x)))*tan(x*tan(x) + log(cos(x))) + log(cos(x*tan(x) + log(cos(x))))
(xtan⁡(x)+log⁡(cos⁡(x)))tan⁡(xtan⁡(x)+log⁡(cos⁡(x)))+log⁡(cos⁡(xtan⁡(x)+log⁡(cos⁡(x))))\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)}\right) \tan{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + \log{\left(\cos{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} \right)} 
(x*tan(x) + log(cos(x)))*tan(x*tan(x) + log(cos(x))) + log(cos(x*tan(x) + log(cos(x))))
Gráfica
02468-8-6-4-2-1010-25000002500000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                                                                                                                                                                    /  /       2   \   sin(x)         \                            
                                                                                                                                                                    |x*\1 + tan (x)/ - ------ + tan(x)|*sin(x*tan(x) + log(cos(x)))
/  /       2   \   sin(x)         \                               /       2                        \                          /  /       2   \   sin(x)         \   \                  cos(x)         /                            
|x*\1 + tan (x)/ - ------ + tan(x)|*tan(x*tan(x) + log(cos(x))) + \1 + tan (x*tan(x) + log(cos(x)))/*(x*tan(x) + log(cos(x)))*|x*\1 + tan (x)/ - ------ + tan(x)| - ---------------------------------------------------------------
\                  cos(x)         /                                                                                           \                  cos(x)         /                     cos(x*tan(x) + log(cos(x)))
(xtan⁡(x)+log⁡(cos⁡(x)))(tan⁡2(xtan⁡(x)+log⁡(cos⁡(x)))+1)(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))−(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))sin⁡(xtan⁡(x)+log⁡(cos⁡(x)))cos⁡(xtan⁡(x)+log⁡(cos⁡(x)))+(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))tan⁡(xtan⁡(x)+log⁡(cos⁡(x)))\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)}\right) \left(\tan^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right) - \frac{\left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right) \sin{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}}{\cos{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}} + \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right) \tan{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}
Simplificar
Segunda derivada [src] 
                                                                                                                                                                                                                                                                                                                                                                                               /                   2                              \                                                                                                                                                             
                                                                                                                                                                                                                                                                                                                                                              2                                |         2      sin (x)       /       2   \       |                                                                                                                                                             
                                                                                                                                                                                                                                                                                                                           /  /       2   \   sin(x)         \     2                           |1 + 2*tan (x) - ------- + 2*x*\1 + tan (x)/*tan(x)|*sin(x*tan(x) + log(cos(x)))                                                                                                                                 
                                     2   /                   2                              \                                                                    2                                                                                                  /                   2                              \   |x*\1 + tan (x)/ - ------ + tan(x)| *sin (x*tan(x) + log(cos(x)))   |                   2                              |                                                                    2                                                                                        
  /  /       2   \   sin(x)         \    |         2      sin (x)       /       2   \       |                                 /  /       2   \   sin(x)         \  /       2                        \   /       2                        \                          |         2      sin (x)       /       2   \       |   \                  cos(x)         /                                 \                cos (x)                           /                                 /  /       2   \   sin(x)         \  /       2                        \                                                     
- |x*\1 + tan (x)/ - ------ + tan(x)|  + |1 + 2*tan (x) - ------- + 2*x*\1 + tan (x)/*tan(x)|*tan(x*tan(x) + log(cos(x))) + 2*|x*\1 + tan (x)/ - ------ + tan(x)| *\1 + tan (x*tan(x) + log(cos(x)))/ + \1 + tan (x*tan(x) + log(cos(x)))/*(x*tan(x) + log(cos(x)))*|1 + 2*tan (x) - ------- + 2*x*\1 + tan (x)/*tan(x)| - ----------------------------------------------------------------- - -------------------------------------------------------------------------------- + 2*|x*\1 + tan (x)/ - ------ + tan(x)| *\1 + tan (x*tan(x) + log(cos(x)))/*(x*tan(x) + log(cos(x)))*tan(x*tan(x) + log(cos(x)))
  \                  cos(x)         /    |                   2                              |                                 \                  cos(x)         /                                                                                                   |                   2                              |                         2                                                                       cos(x*tan(x) + log(cos(x)))                                \                  cos(x)         /                                                                                         
                                         \                cos (x)                           /                                                                                                                                                                       \                cos (x)                           /                      cos (x*tan(x) + log(cos(x)))
2(xtan⁡(x)+log⁡(cos⁡(x)))(tan⁡2(xtan⁡(x)+log⁡(cos⁡(x)))+1)(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))2tan⁡(xtan⁡(x)+log⁡(cos⁡(x)))+(xtan⁡(x)+log⁡(cos⁡(x)))(tan⁡2(xtan⁡(x)+log⁡(cos⁡(x)))+1)(2x(tan⁡2(x)+1)tan⁡(x)−sin⁡2(x)cos⁡2(x)+2tan⁡2(x)+1)+2(tan⁡2(xtan⁡(x)+log⁡(cos⁡(x)))+1)(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))2−(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))2sin⁡2(xtan⁡(x)+log⁡(cos⁡(x)))cos⁡2(xtan⁡(x)+log⁡(cos⁡(x)))−(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))2−(2x(tan⁡2(x)+1)tan⁡(x)−sin⁡2(x)cos⁡2(x)+2tan⁡2(x)+1)sin⁡(xtan⁡(x)+log⁡(cos⁡(x)))cos⁡(xtan⁡(x)+log⁡(cos⁡(x)))+(2x(tan⁡2(x)+1)tan⁡(x)−sin⁡2(x)cos⁡2(x)+2tan⁡2(x)+1)tan⁡(xtan⁡(x)+log⁡(cos⁡(x)))2 \left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)}\right) \left(\tan^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right)^{2} \tan{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + \left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)}\right) \left(\tan^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 1\right) \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 2 \tan^{2}{\left(x \right)} + 1\right) + 2 \left(\tan^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right)^{2} - \frac{\left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right)^{2} \sin^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}}{\cos^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}} - \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right)^{2} - \frac{\left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 2 \tan^{2}{\left(x \right)} + 1\right) \sin{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}}{\cos{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}} + \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 2 \tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}
Simplificar
Tercera derivada [src] 
                                                                                                                                                                                                                                                                                                                                                                       /               2               3                                                        \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           /                   2                              \                                                                                                                                                                                                                                                                                                                       
                                                                                                                                                                                                                                                               3                                                                    3                                  |  /       2   \    sin(x)   sin (x)     /       2   \                 2    /       2   \|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             2                         /  /       2   \   sin(x)         \ |         2      sin (x)       /       2   \       |                                                                                                                                                                                                                                                                                                                       
                                                                                                                                                                                                                            /  /       2   \   sin(x)         \                                  /  /       2   \   sin(x)         \     3                           2*|x*\1 + tan (x)/  - ------ - ------- + 3*\1 + tan (x)/*tan(x) + 2*x*tan (x)*\1 + tan (x)/|*sin(x*tan(x) + log(cos(x)))                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            3*sin (x*tan(x) + log(cos(x)))*|x*\1 + tan (x)/ - ------ + tan(x)|*|1 + 2*tan (x) - ------- + 2*x*\1 + tan (x)/*tan(x)|                                                                                                                                                                                                                                                                                                                       
                                        /                   2                              \     /               2               3                                                        \                               2*|x*\1 + tan (x)/ - ------ + tan(x)| *sin(x*tan(x) + log(cos(x)))   2*|x*\1 + tan (x)/ - ------ + tan(x)| *sin (x*tan(x) + log(cos(x)))     |                   cos(x)      3                                                        |                                                                   2                                    3                                                                                          /               2               3                                                        \                                        3                                                                                                                                           /                   2                              \                                  \                  cos(x)         / |                   2                              |                                        3                                                                                                                                                                                              /                   2                              \                            
    /  /       2   \   sin(x)         \ |         2      sin (x)       /       2   \       |     |  /       2   \    sin(x)   sin (x)     /       2   \                 2    /       2   \|                                 \                  cos(x)         /                                  \                  cos(x)         /                                   \                            cos (x)                                                     /                                 /       2                        \  /  /       2   \   sin(x)         \                               /       2                        \                          |  /       2   \    sin(x)   sin (x)     /       2   \                 2    /       2   \|     /  /       2   \   sin(x)         \  /       2                        \                                 /       2                        \ /  /       2   \   sin(x)         \ |         2      sin (x)       /       2   \       |                                                                      \                cos (x)                           /     /  /       2   \   sin(x)         \     2                         /       2                        \                              /       2                        \                          /  /       2   \   sin(x)         \ |         2      sin (x)       /       2   \       |                            
- 3*|x*\1 + tan (x)/ - ------ + tan(x)|*|1 + 2*tan (x) - ------- + 2*x*\1 + tan (x)/*tan(x)| + 2*|x*\1 + tan (x)/  - ------ - ------- + 3*\1 + tan (x)/*tan(x) + 2*x*tan (x)*\1 + tan (x)/|*tan(x*tan(x) + log(cos(x))) - ------------------------------------------------------------------ - ------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------ + 2*\1 + tan (x*tan(x) + log(cos(x)))/ *|x*\1 + tan (x)/ - ------ + tan(x)| *(x*tan(x) + log(cos(x))) + 2*\1 + tan (x*tan(x) + log(cos(x)))/*(x*tan(x) + log(cos(x)))*|x*\1 + tan (x)/  - ------ - ------- + 3*\1 + tan (x)/*tan(x) + 2*x*tan (x)*\1 + tan (x)/| + 6*|x*\1 + tan (x)/ - ------ + tan(x)| *\1 + tan (x*tan(x) + log(cos(x)))/*tan(x*tan(x) + log(cos(x))) + 6*\1 + tan (x*tan(x) + log(cos(x)))/*|x*\1 + tan (x)/ - ------ + tan(x)|*|1 + 2*tan (x) - ------- + 2*x*\1 + tan (x)/*tan(x)| - ----------------------------------------------------------------------------------------------------------------------- + 4*|x*\1 + tan (x)/ - ------ + tan(x)| *tan (x*tan(x) + log(cos(x)))*\1 + tan (x*tan(x) + log(cos(x)))/*(x*tan(x) + log(cos(x))) + 6*\1 + tan (x*tan(x) + log(cos(x)))/*(x*tan(x) + log(cos(x)))*|x*\1 + tan (x)/ - ------ + tan(x)|*|1 + 2*tan (x) - ------- + 2*x*\1 + tan (x)/*tan(x)|*tan(x*tan(x) + log(cos(x)))
    \                  cos(x)         / |                   2                              |     |                   cos(x)      3                                                        |                                                  cos(x*tan(x) + log(cos(x)))                                              3                                                                                            cos(x*tan(x) + log(cos(x)))                                                                                        \                  cos(x)         /                                                                                           |                   cos(x)      3                                                        |     \                  cos(x)         /                                                                                                        \                  cos(x)         / |                   2                              |                                                    2                                                                          \                  cos(x)         /                                                                                                                                                           \                  cos(x)         / |                   2                              |                            
                                        \                cos (x)                           /     \                            cos (x)                                                     /                                                                                                                        cos (x*tan(x) + log(cos(x)))                                                                                                                                                                                                                                                                                                                     \                            cos (x)                                                     /                                                                                                                                                                                    \                cos (x)                           /                                                 cos (x*tan(x) + log(cos(x)))                                                                                                                                                                                                                                                                                    \                cos (x)                           /
2(xtan⁡(x)+log⁡(cos⁡(x)))(tan⁡2(xtan⁡(x)+log⁡(cos⁡(x)))+1)2(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))3+4(xtan⁡(x)+log⁡(cos⁡(x)))(tan⁡2(xtan⁡(x)+log⁡(cos⁡(x)))+1)(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))3tan⁡2(xtan⁡(x)+log⁡(cos⁡(x)))+6(xtan⁡(x)+log⁡(cos⁡(x)))(tan⁡2(xtan⁡(x)+log⁡(cos⁡(x)))+1)(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))(2x(tan⁡2(x)+1)tan⁡(x)−sin⁡2(x)cos⁡2(x)+2tan⁡2(x)+1)tan⁡(xtan⁡(x)+log⁡(cos⁡(x)))+2(xtan⁡(x)+log⁡(cos⁡(x)))(tan⁡2(xtan⁡(x)+log⁡(cos⁡(x)))+1)(x(tan⁡2(x)+1)2+2x(tan⁡2(x)+1)tan⁡2(x)+3(tan⁡2(x)+1)tan⁡(x)−sin⁡3(x)cos⁡3(x)−sin⁡(x)cos⁡(x))+6(tan⁡2(xtan⁡(x)+log⁡(cos⁡(x)))+1)(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))3tan⁡(xtan⁡(x)+log⁡(cos⁡(x)))+6(tan⁡2(xtan⁡(x)+log⁡(cos⁡(x)))+1)(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))(2x(tan⁡2(x)+1)tan⁡(x)−sin⁡2(x)cos⁡2(x)+2tan⁡2(x)+1)−2(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))3sin⁡3(xtan⁡(x)+log⁡(cos⁡(x)))cos⁡3(xtan⁡(x)+log⁡(cos⁡(x)))−2(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))3sin⁡(xtan⁡(x)+log⁡(cos⁡(x)))cos⁡(xtan⁡(x)+log⁡(cos⁡(x)))−3(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))(2x(tan⁡2(x)+1)tan⁡(x)−sin⁡2(x)cos⁡2(x)+2tan⁡2(x)+1)sin⁡2(xtan⁡(x)+log⁡(cos⁡(x)))cos⁡2(xtan⁡(x)+log⁡(cos⁡(x)))−3(x(tan⁡2(x)+1)−sin⁡(x)cos⁡(x)+tan⁡(x))(2x(tan⁡2(x)+1)tan⁡(x)−sin⁡2(x)cos⁡2(x)+2tan⁡2(x)+1)−2(x(tan⁡2(x)+1)2+2x(tan⁡2(x)+1)tan⁡2(x)+3(tan⁡2(x)+1)tan⁡(x)−sin⁡3(x)cos⁡3(x)−sin⁡(x)cos⁡(x))sin⁡(xtan⁡(x)+log⁡(cos⁡(x)))cos⁡(xtan⁡(x)+log⁡(cos⁡(x)))+2(x(tan⁡2(x)+1)2+2x(tan⁡2(x)+1)tan⁡2(x)+3(tan⁡2(x)+1)tan⁡(x)−sin⁡3(x)cos⁡3(x)−sin⁡(x)cos⁡(x))tan⁡(xtan⁡(x)+log⁡(cos⁡(x)))2 \left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)}\right) \left(\tan^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 1\right)^{2} \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right)^{3} + 4 \left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)}\right) \left(\tan^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right)^{3} \tan^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 6 \left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)}\right) \left(\tan^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right) \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 2 \tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 2 \left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)}\right) \left(\tan^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\sin^{3}{\left(x \right)}}{\cos^{3}{\left(x \right)}} - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}\right) + 6 \left(\tan^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right)^{3} \tan{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 6 \left(\tan^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)} + 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right) \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 2 \tan^{2}{\left(x \right)} + 1\right) - \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right)^{3} \sin^{3}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}}{\cos^{3}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}} - \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right)^{3} \sin{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}}{\cos{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}} - \frac{3 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right) \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 2 \tan^{2}{\left(x \right)} + 1\right) \sin^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}}{\cos^{2}{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}} - 3 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}\right) \left(2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 2 \tan^{2}{\left(x \right)} + 1\right) - \frac{2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\sin^{3}{\left(x \right)}}{\cos^{3}{\left(x \right)}} - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}\right) \sin{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}}{\cos{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}} + 2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\sin^{3}{\left(x \right)}}{\cos^{3}{\left(x \right)}} - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}\right) \tan{\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)} \right)}
Simplificar
Gráfico
Derivada de (xtgx+lncosx)*tg(xtgx+lncosx)+lncos(xtgx+lncosx)
    © Sr Examen – Калькулятор