Sr Examen

Otras calculadoras

y=tg^4*arcctg^2

  • ¿Cómo usar?

  • Derivada de:
  • Derivada de x^-7 Derivada de x^-7
  • Derivada de i*n*x
  • Derivada de (x+7)^5 Derivada de (x+7)^5
  • Derivada de 1/x^9 Derivada de 1/x^9

  • Expresiones idénticas

  • y=tg^ cuatro *arcctg^ dos
  • y es igual a tg en el grado 4 multiplicar por arcctg al cuadrado
  • y es igual a tg en el grado cuatro multiplicar por arcctg en el grado dos
  • y=tg4*arcctg2
  • y=tg⁴*arcctg²
  • y=tg en el grado 4*arcctg en el grado 2
  • y=tg^4arcctg^2
  • y=tg4arcctg2
Derivada de la función/ ctg^2/ y=tg^4/ y=tg^4*arcctg^2

Derivada de y=tg^4*arcctg^2

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   4        2   
tan (x)*acot (x)
tan⁡4(x)acot⁡2(x)\tan^{4}{\left(x \right)} \operatorname{acot}^{2}{\left(x \right)} 
tan(x)^4*acot(x)^2
Gráfica
02468-8-6-4-2-1010-50000005000000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                                        4           
    2       3    /         2   \   2*tan (x)*acot(x)
acot (x)*tan (x)*\4 + 4*tan (x)/ - -----------------
                                              2     
                                         1 + x
(4tan⁡2(x)+4)tan⁡3(x)acot⁡2(x)−2tan⁡4(x)acot⁡(x)x2+1\left(4 \tan^{2}{\left(x \right)} + 4\right) \tan^{3}{\left(x \right)} \operatorname{acot}^{2}{\left(x \right)} - \frac{2 \tan^{4}{\left(x \right)} \operatorname{acot}{\left(x \right)}}{x^{2} + 1}
Simplificar
Segunda derivada [src] 
          /   2                                                                     /       2   \               \
     2    |tan (x)*(1 + 2*x*acot(x))         2    /       2   \ /         2   \   8*\1 + tan (x)/*acot(x)*tan(x)|
2*tan (x)*|------------------------- + 2*acot (x)*\1 + tan (x)/*\3 + 5*tan (x)/ - ------------------------------|
          |                2                                                                       2            |
          |        /     2\                                                                   1 + x             |
          \        \1 + x /                                                                                     /
2(2(tan⁡2(x)+1)(5tan⁡2(x)+3)acot⁡2(x)−8(tan⁡2(x)+1)tan⁡(x)acot⁡(x)x2+1+(2xacot⁡(x)+1)tan⁡2(x)(x2+1)2)tan⁡2(x)2 \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \left(5 \tan^{2}{\left(x \right)} + 3\right) \operatorname{acot}^{2}{\left(x \right)} - \frac{8 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \frac{\left(2 x \operatorname{acot}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}}\right) \tan^{2}{\left(x \right)}
Simplificar
Tercera derivada [src] 
  /          /                       2        \                                                                                                                                                                                  \       
  |     3    |            3*x     4*x *acot(x)|                                                                                                                                                                                  |       
  |  tan (x)*|-acot(x) + ------ + ------------|                                                                                                                                                                                  |       
  |          |                2           2   |                            /                           2                           \        2    /       2   \                       /       2   \ /         2   \               |       
  |          \           1 + x       1 + x    /         2    /       2   \ |     4        /       2   \          2    /       2   \|   6*tan (x)*\1 + tan (x)/*(1 + 2*x*acot(x))   6*\1 + tan (x)/*\3 + 5*tan (x)/*acot(x)*tan(x)|       
4*|- ------------------------------------------ + 2*acot (x)*\1 + tan (x)/*\2*tan (x) + 3*\1 + tan (x)/  + 10*tan (x)*\1 + tan (x)// + ----------------------------------------- - ----------------------------------------------|*tan(x)
  |                          2                                                                                                                                 2                                            2                    |       
  |                  /     2\                                                                                                                          /     2\                                        1 + x                     |       
  \                  \1 + x /                                                                                                                          \1 + x /                                                                  /
4(2(tan⁡2(x)+1)(3(tan⁡2(x)+1)2+10(tan⁡2(x)+1)tan⁡2(x)+2tan⁡4(x))acot⁡2(x)−6(tan⁡2(x)+1)(5tan⁡2(x)+3)tan⁡(x)acot⁡(x)x2+1+6(2xacot⁡(x)+1)(tan⁡2(x)+1)tan⁡2(x)(x2+1)2−(4x2acot⁡(x)x2+1+3xx2+1−acot⁡(x))tan⁡3(x)(x2+1)2)tan⁡(x)4 \left(2 \left(\tan^{2}{\left(x \right)} + 1\right) \left(3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 10 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 2 \tan^{4}{\left(x \right)}\right) \operatorname{acot}^{2}{\left(x \right)} - \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \left(5 \tan^{2}{\left(x \right)} + 3\right) \tan{\left(x \right)} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \frac{6 \left(2 x \operatorname{acot}{\left(x \right)} + 1\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} - \frac{\left(\frac{4 x^{2} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \frac{3 x}{x^{2} + 1} - \operatorname{acot}{\left(x \right)}\right) \tan^{3}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}}\right) \tan{\left(x \right)}
Simplificar
Gráfico
Derivada de y=tg^4*arcctg^2
    © Sr Examen – Калькулятор