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x/(tg(x)-sin(x))
Derivada de la función/ tg(x)/ sin(x)/ x/(tg(x)-sin(x))

Derivada de x/(tg(x)-sin(x))

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
       x       
---------------
tan(x) - sin(x)
x−sin⁡(x)+tan⁡(x)\frac{x}{- \sin{\left(x \right)} + \tan{\left(x \right)}} 
x/(tan(x) - sin(x))
Gráfica
02468-8-6-4-2-1010-20000002000000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                    /        2            \
       1          x*\-1 - tan (x) + cos(x)/
--------------- + -------------------------
tan(x) - sin(x)                        2   
                      (tan(x) - sin(x))
x(cos⁡(x)−tan⁡2(x)−1)(−sin⁡(x)+tan⁡(x))2+1−sin⁡(x)+tan⁡(x)\frac{x \left(\cos{\left(x \right)} - \tan^{2}{\left(x \right)} - 1\right)}{\left(- \sin{\left(x \right)} + \tan{\left(x \right)}\right)^{2}} + \frac{1}{- \sin{\left(x \right)} + \tan{\left(x \right)}}
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Segunda derivada [src] 
 /                             /                        2                                  \\ 
 |                             |  /       2            \                                   || 
 |                    2        |2*\1 + tan (x) - cos(x)/      /       2   \                || 
-|2 - 2*cos(x) + 2*tan (x) + x*|------------------------- + 2*\1 + tan (x)/*tan(x) + sin(x)|| 
 \                             \     -tan(x) + sin(x)                                      // 
----------------------------------------------------------------------------------------------
                                                       2                                      
                                     (-tan(x) + sin(x))
−x(2(tan⁡2(x)+1)tan⁡(x)+sin⁡(x)+2(−cos⁡(x)+tan⁡2(x)+1)2sin⁡(x)−tan⁡(x))−2cos⁡(x)+2tan⁡2(x)+2(sin⁡(x)−tan⁡(x))2- \frac{x \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \sin{\left(x \right)} + \frac{2 \left(- \cos{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)^{2}}{\sin{\left(x \right)} - \tan{\left(x \right)}}\right) - 2 \cos{\left(x \right)} + 2 \tan^{2}{\left(x \right)} + 2}{\left(\sin{\left(x \right)} - \tan{\left(x \right)}\right)^{2}}
Simplificar
Tercera derivada [src] 
 /             /                                                                     3                                                                      \                           2                         \ 
 |             |               2                               /       2            \      /  /       2   \                \ /       2            \         |     /       2            \                          | 
 |             |  /       2   \         2    /       2   \   6*\1 + tan (x) - cos(x)/    6*\2*\1 + tan (x)/*tan(x) + sin(x)/*\1 + tan (x) - cos(x)/         |   6*\1 + tan (x) - cos(x)/      /       2   \       | 
-|3*sin(x) + x*|2*\1 + tan (x)/  + 4*tan (x)*\1 + tan (x)/ + ------------------------- + ---------------------------------------------------------- + cos(x)| + ------------------------- + 6*\1 + tan (x)/*tan(x)| 
 |             |                                                                  2                           -tan(x) + sin(x)                              |        -tan(x) + sin(x)                             | 
 \             \                                                (-tan(x) + sin(x))                                                                          /                                                     / 
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                                                                                                                  2                                                                                                 
                                                                                                (-tan(x) + sin(x))
−x(6(2(tan⁡2(x)+1)tan⁡(x)+sin⁡(x))(−cos⁡(x)+tan⁡2(x)+1)sin⁡(x)−tan⁡(x)+2(tan⁡2(x)+1)2+4(tan⁡2(x)+1)tan⁡2(x)+cos⁡(x)+6(−cos⁡(x)+tan⁡2(x)+1)3(sin⁡(x)−tan⁡(x))2)+6(tan⁡2(x)+1)tan⁡(x)+3sin⁡(x)+6(−cos⁡(x)+tan⁡2(x)+1)2sin⁡(x)−tan⁡(x)(sin⁡(x)−tan⁡(x))2- \frac{x \left(\frac{6 \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \sin{\left(x \right)}\right) \left(- \cos{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)}{\sin{\left(x \right)} - \tan{\left(x \right)}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + \cos{\left(x \right)} + \frac{6 \left(- \cos{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)^{3}}{\left(\sin{\left(x \right)} - \tan{\left(x \right)}\right)^{2}}\right) + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + 3 \sin{\left(x \right)} + \frac{6 \left(- \cos{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)^{2}}{\sin{\left(x \right)} - \tan{\left(x \right)}}}{\left(\sin{\left(x \right)} - \tan{\left(x \right)}\right)^{2}}
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Gráfico
Derivada de x/(tg(x)-sin(x))
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