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xtgx+4arccosx
Derivada de la función/ arccos/ xtgx+4/ xtgx+4arccosx

Derivada de xtgx+4arccosx

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
x*tan(x) + 4*acos(x)
xtan⁡(x)+4acos⁡(x)x \tan{\left(x \right)} + 4 \operatorname{acos}{\left(x \right)} 
x*tan(x) + 4*acos(x)
Gráfica
02468-8-6-4-2-1010-2525
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
       4          /       2   \         
- ----------- + x*\1 + tan (x)/ + tan(x)
     ________                           
    /      2                            
  \/  1 - x
x(tan⁡2(x)+1)+tan⁡(x)−41−x2x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)} - \frac{4}{\sqrt{1 - x^{2}}}
Simplificar
Segunda derivada [src] 
  /       2          2*x         /       2   \       \
2*|1 + tan (x) - ----------- + x*\1 + tan (x)/*tan(x)|
  |                      3/2                         |
  |              /     2\                            |
  \              \1 - x /                            /
2(x(tan⁡2(x)+1)tan⁡(x)−2x(1−x2)32+tan⁡2(x)+1)2 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - \frac{2 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \tan^{2}{\left(x \right)} + 1\right)
Simplificar
Tercera derivada [src] 
  /                               2          2                                                        \
  |       2          /       2   \        6*x         /       2   \                 2    /       2   \|
2*|- ----------- + x*\1 + tan (x)/  - ----------- + 3*\1 + tan (x)/*tan(x) + 2*x*tan (x)*\1 + tan (x)/|
  |          3/2                              5/2                                                     |
  |  /     2\                         /     2\                                                        |
  \  \1 - x /                         \1 - x /                                                        /
2(−6x2(1−x2)52+x(tan⁡2(x)+1)2+2x(tan⁡2(x)+1)tan⁡2(x)+3(tan⁡2(x)+1)tan⁡(x)−2(1−x2)32)2 \left(- \frac{6 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + 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{2}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right)
Simplificar
Gráfico
Derivada de xtgx+4arccosx
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