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x*tg(x)+ln(cos(x))+6

Derivada de x*tg(x)+ln(cos(x))+6

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

Ha introducido [src]
x*tan(x) + log(cos(x)) + 6
$$\left(x \tan{\left(x \right)} + \log{\left(\cos{\left(x \right)} \right)}\right) + 6$$
x*tan(x) + log(cos(x)) + 6
Gráfica
Primera derivada [src]
  /       2   \   sin(x)         
x*\1 + tan (x)/ - ------ + tan(x)
                  cos(x)         
$$x \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \tan{\left(x \right)}$$
Segunda derivada [src]
                   2                              
         2      sin (x)       /       2   \       
1 + 2*tan (x) - ------- + 2*x*\1 + tan (x)/*tan(x)
                   2                              
                cos (x)                           
$$2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\sin^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)}} + 2 \tan^{2}{\left(x \right)} + 1$$
Tercera derivada [src]
  /               2               3                                                        \
  |  /       2   \    sin(x)   sin (x)     /       2   \                 2    /       2   \|
2*|x*\1 + tan (x)/  - ------ - ------- + 3*\1 + tan (x)/*tan(x) + 2*x*tan (x)*\1 + tan (x)/|
  |                   cos(x)      3                                                        |
  \                            cos (x)                                                     /
$$2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 2 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{\sin^{3}{\left(x \right)}}{\cos^{3}{\left(x \right)}} - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}\right)$$
Gráfico
Derivada de x*tg(x)+ln(cos(x))+6