Derivada de y=2tg(3x+1)arcsinx

Ha introducido [src]

2*tan(3*x + 1)*asin(x)

2 \tan{\left(3 x + 1 \right)} \operatorname{asin}{\left(x \right)}

(2*tan(3*x + 1))*asin(x)

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

/         2         \           2*tan(3*x + 1)
\6 + 6*tan (3*x + 1)/*asin(x) + --------------
                                    ________  
                                   /      2   
                                 \/  1 - x

\left(6 \tan^{2}{\left(3 x + 1 \right)} + 6\right) \operatorname{asin}{\left(x \right)} + \frac{2 \tan{\left(3 x + 1 \right)}}{\sqrt{1 - x^{2}}}

Simplificar

Segunda derivada [src]

  /  /       2         \                                                               \
  |6*\1 + tan (1 + 3*x)/   x*tan(1 + 3*x)      /       2         \                     |
2*|--------------------- + -------------- + 18*\1 + tan (1 + 3*x)/*asin(x)*tan(1 + 3*x)|
  |        ________                 3/2                                                |
  |       /      2          /     2\                                                   |
  \     \/  1 - x           \1 - x /                                                   /

2 \left(\frac{x \tan{\left(3 x + 1 \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 18 \left(\tan^{2}{\left(3 x + 1 \right)} + 1\right) \tan{\left(3 x + 1 \right)} \operatorname{asin}{\left(x \right)} + \frac{6 \left(\tan^{2}{\left(3 x + 1 \right)} + 1\right)}{\sqrt{1 - x^{2}}}\right)

Simplificar

Tercera derivada [src]

  /  /          2 \                                                                                                                                    \
  |  |       3*x  |                                                                                                                                    |
  |  |-1 + -------|*tan(1 + 3*x)                                                                                                                       |
  |  |           2|                    /       2         \      /       2         \                                                                    |
  |  \     -1 + x /                9*x*\1 + tan (1 + 3*x)/   54*\1 + tan (1 + 3*x)/*tan(1 + 3*x)      /       2         \ /         2         \        |
2*|- --------------------------- + ----------------------- + ----------------------------------- + 54*\1 + tan (1 + 3*x)/*\1 + 3*tan (1 + 3*x)/*asin(x)|
  |                  3/2                         3/2                        ________                                                                   |
  |          /     2\                    /     2\                          /      2                                                                    |
  \          \1 - x /                    \1 - x /                        \/  1 - x                                                                     /

2 \left(\frac{9 x \left(\tan^{2}{\left(3 x + 1 \right)} + 1\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 54 \left(\tan^{2}{\left(3 x + 1 \right)} + 1\right) \left(3 \tan^{2}{\left(3 x + 1 \right)} + 1\right) \operatorname{asin}{\left(x \right)} + \frac{54 \left(\tan^{2}{\left(3 x + 1 \right)} + 1\right) \tan{\left(3 x + 1 \right)}}{\sqrt{1 - x^{2}}} - \frac{\left(\frac{3 x^{2}}{x^{2} - 1} - 1\right) \tan{\left(3 x + 1 \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right)

Simplificar

Gráfico

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Derivada de y=2tg(3x+1)arcsinx

Gráfico:

Definida a trozos:

Solución