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Derivada de:
Derivada de x^-7
Derivada de (x+7)^5
Derivada de 1/x^9
Derivada de x^5*7^x
Expresiones idénticas
|x|*sqrt(x)* tres *(cuatro -x^ dos)/(dos *x^ cuatro *sqrt((tres x^ dos - cuatro)/x^3))
módulo de x| multiplicar por raíz cuadrada de (x) multiplicar por 3 multiplicar por (4 menos x al cuadrado ) dividir por (2 multiplicar por x en el grado 4 multiplicar por raíz cuadrada de ((3x al cuadrado menos 4) dividir por x al cubo ))
módulo de x| multiplicar por raíz cuadrada de (x) multiplicar por tres multiplicar por (cuatro menos x en el grado dos) dividir por (dos multiplicar por x en el grado cuatro multiplicar por raíz cuadrada de ((tres x en el grado dos menos cuatro) dividir por x al cubo ))
|x|*√(x)*3*(4-x^2)/(2*x^4*√((3x^2-4)/x^3))
|x|*sqrt(x)*3*(4-x2)/(2*x4*sqrt((3x2-4)/x3))
|x|*sqrtx*3*4-x2/2*x4*sqrt3x2-4/x3
|x|*sqrt(x)*3*(4-x²)/(2*x⁴*sqrt((3x²-4)/x³))
|x|*sqrt(x)*3*(4-x en el grado 2)/(2*x en el grado 4*sqrt((3x en el grado 2-4)/x en el grado 3))
|x|sqrt(x)3(4-x^2)/(2x^4sqrt((3x^2-4)/x^3))
|x|sqrt(x)3(4-x2)/(2x4sqrt((3x2-4)/x3))
|x|sqrtx34-x2/2x4sqrt3x2-4/x3
|x|sqrtx34-x^2/2x^4sqrt3x^2-4/x^3
|x|*sqrt(x)*3*(4-x^2) dividir por (2*x^4*sqrt((3x^2-4) dividir por x^3))
Expresiones semejantes
|x|*sqrt(x)*3*(4+x^2)/(2*x^4*sqrt((3x^2-4)/x^3))
|x|*sqrt(x)*3*(4-x^2)/(2*x^4*sqrt((3x^2+4)/x^3))
Expresiones con funciones
Raíz cuadrada sqrt
sqrt(x)^(1/4)
sqrt(x/(x+1))
sqrt(x*2)
sqrt(4*x+sin(4*x))
sqrt(4-(2*x))
Raíz cuadrada sqrt
sqrt(x)^(1/4)
sqrt(x/(x+1))
sqrt(x*2)
sqrt(4*x+sin(4*x))
sqrt(4-(2*x))
Módulo |
|z|*rez
|z|^2+2z
|x|^(π)(x-1)
|x×x|
|x|*x^2+sin(x^2)+x/(exp(x)-1)

Derivada de la función/ |x|*sqrt(x)*3*(4-x^2)/(2*x^4*sqrt((3x^2-4)/x^3))

Derivada de |x|sqrt(x)3*(4-x^2)/(2x^4sqrt((3x^2-4)/x^3))

Solución

Ha introducido [src]

       ___   /     2\
 |x|*\/ x *3*\4 - x /
---------------------
           __________
          /    2     
   4     /  3*x  - 4 
2*x *   /   -------- 
       /        3    
     \/        x

\frac{3 \sqrt{x} \left|{x}\right| \left(4 - x^{2}\right)}{2 x^{4} \sqrt{\frac{3 x^{2} - 4}{x^{3}}}}

(((|x|*sqrt(x))*3)*(4 - x^2))/(((2*x^4)*sqrt((3*x^2 - 4)/x^3)))

Primera derivada [src]

                                                                                                /                                     __________                     \    
                                                                                                |                                    /    2      /        /   2    \\|    
                                                                                                |                             7     /  3*x  - 4  |3*x   3*\3*x  - 4/||    
                                                                                                |             __________   2*x *   /   -------- *|--- - ------------||    
                                                                                  3             |            /    2               /        3     |  3          4    ||    
                                                                                 x     /     2\ |     3     /  3*x  - 4         \/        x      \ x        2*x     /|    
                                                                            3*--------*\4 - x /*|- 8*x *   /   --------  - ------------------------------------------|*|x|
                                                                                 2              |         /        3                           2                     |    
          1           //     2\ /    ___            3*|x| \      3/2    \     3*x  - 4          \       \/        x                         3*x  - 4                 /    
---------------------*|\4 - x /*|3*\/ x *sign(x) + -------| - 6*x   *|x|| + ----------------------------------------------------------------------------------------------
           __________ |         |                      ___|             |                                                 15/2                                            
          /    2      \         \                  2*\/ x /             /                                              4*x                                                
   4     /  3*x  - 4                                                                                                                                                      
2*x *   /   --------                                                                                                                                                      
       /        3                                                                                                                                                         
     \/        x

\frac{1}{2 x^{4} \sqrt{\frac{3 x^{2} - 4}{x^{3}}}} \left(- 6 x^{\frac{3}{2}} \left|{x}\right| + \left(4 - x^{2}\right) \left(3 \sqrt{x} \operatorname{sign}{\left(x \right)} + \frac{3 \left|{x}\right|}{2 \sqrt{x}}\right)\right) + \frac{3 \frac{x^{3}}{3 x^{2} - 4} \left(4 - x^{2}\right) \left(- \frac{2 x^{7} \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(\frac{3 x}{x^{3}} - \frac{3 \left(3 x^{2} - 4\right)}{2 x^{4}}\right)}{3 x^{2} - 4} - 8 x^{3} \sqrt{\frac{3 x^{2} - 4}{x^{3}}}\right) \left|{x}\right|}{4 x^{\frac{15}{2}}}

Simplificar

Segunda derivada [src]

  /                                                                                                                   /                                                                          /                                                                            2                        \                                                                                                                  \                                                                                                        \
  |                                                                                                                   |                                                                          |           /            2\        /      /        2\\        /            2\          /            2\|                                                                                                                  |                                                                                                        |
  |                                                                                                                   |/         /            2\\ /       /            2\\                       |         4 |    -4 + 3*x |      2 |    2*\-4 + 3*x /|      4 |    -4 + 3*x |        2 |    -4 + 3*x ||                                       /         /            2\\                       /         /            2\\|                                                                                                        |
  |                                                                                                                   ||       2 |    -4 + 3*x || |       |    -4 + 3*x ||           ___________ |     12*x *|2 - ---------|   4*x *|5 - -------------|   3*x *|2 - ---------|    22*x *|2 - ---------||                                       |       2 |    -4 + 3*x ||                       |       2 |    -4 + 3*x |||                                                                                                        |
  |                                                                                                                   ||    3*x *|2 - ---------|| |     3*|2 - ---------||          /         2  |           |         2   |        |           2     |        |         2   |          |         2   ||           ___________                 |    3*x *|2 - ---------||           ___________ |    3*x *|2 - ---------|||                                                                                                        |
  |                                                                                                                   ||         |         2   || |       |         2   ||         /  -4 + 3*x   |           \        x    /        \          x      /        \        x    /          \        x    /|          /         2  /            2\ |         |         2   ||          /         2  |         |         2   |||                                                                                                        |
  |                                                                                                                   ||         \        x    /| |8      \        x    /|   3*   /   --------- *|16 - --------------------- - ------------------------ + --------------------- + ---------------------|         /  -4 + 3*x   |    -4 + 3*x | |         \        x    /|         /  -4 + 3*x   |         \        x    /||                                                                                                        |
  |                                                                                                                   ||8 + --------------------|*|-- + -----------------|       /         3     |                     2                      2                           2                     2      |   3*   /   --------- *|2 - ---------|*|8 + --------------------|   8*   /   --------- *|8 + --------------------||                                                                                                        |
  |                                                                                                                   ||                 2      | | 2               2    |     \/         x      |          /        2\               -4 + 3*x                 /        2\              -4 + 3*x       |       /         3     |         2   | |                 2      |       /         3     |                 2      ||                                                                                                        |
  |                                                                                                         /      2\ |\         -4 + 3*x       / \x        -4 + 3*x     /                       \          \-4 + 3*x /                                        \-4 + 3*x /                             /     \/         x      \        x    / \         -4 + 3*x       /     \/         x      \         -4 + 3*x       /|                           /         /            2\\                                                   |
  |                                                                                                         \-4 + x /*|--------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------- + ----------------------------------------------|*|x|                       |       2 |    -4 + 3*x ||                                                   |
  |                                                                                                                   |                         ___________                                                                          2 /        2\                                                                                             2                                             2 /        2\                |               ___________ |    3*x *|2 - ---------||                                                   |
  |                                                                                                                   |                        /         2                                                                          x *\-4 + 3*x /                                                                                  /        2\                                             x *\-4 + 3*x /                |              /         2  |         |         2   ||                                                   |
  |  /      2\ /  |x|    4*sign(x)       ___              \       / |x|        ___        \       ___                 |                 3     /  -4 + 3*x                                                                                                                                                                           \-4 + 3*x /                                                                           |             /  -4 + 3*x   |         \        x    /| //      2\ / |x|        ___        \      3/2    \|
  |  \-4 + x /*|- ---- + --------- + 8*\/ x *DiracDelta(x)| + 8*x*|----- + 2*\/ x *sign(x)| + 8*\/ x *|x|             |                x *   /   ---------                                                                                                                                                                                                                                                                |       2*   /   --------- *|8 + --------------------|*|\-4 + x /*|----- + 2*\/ x *sign(x)| + 4*x   *|x|||
  |            |   3/2       ___                          |       |  ___                  |                           |                     /         3                                                                                                                                                                                                                                                                   |           /         3     |                 2      | |          |  ___                  |             ||
  |            \  x        \/ x                           /       \\/ x                   /                           \                   \/         x                                                                                                                                                                                                                                                                    /         \/         x      \         -4 + 3*x       / \          \\/ x                   /             /|
3*|- ---------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------|
  |                                                   ___________                                                                                                                                                                                                    ___                                                                                                                                                                                                     2 /        2\                                         |
  |                                                  /         2                                                                                                                                                                                                   \/ x                                                                                                                                                                                                     x *\-4 + 3*x /                                         |
  |                                           4     /  -4 + 3*x                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |
  |                                          x *   /   ---------                                                                                                                                                                                                                                                                                                                                                                                                                                                                   |
  |                                               /         3                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |
  \                                             \/         x                                                                                                                                                                                                                                                                                                                                                                                                                                                                       /
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                 8

\frac{3 \left(\frac{2 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(4 x^{\frac{3}{2}} \left|{x}\right| + \left(x^{2} - 4\right) \left(2 \sqrt{x} \operatorname{sign}{\left(x \right)} + \frac{\left|{x}\right|}{\sqrt{x}}\right)\right) \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{x^{2} \left(3 x^{2} - 4\right)} - \frac{8 \sqrt{x} \left|{x}\right| + 8 x \left(2 \sqrt{x} \operatorname{sign}{\left(x \right)} + \frac{\left|{x}\right|}{\sqrt{x}}\right) + \left(x^{2} - 4\right) \left(8 \sqrt{x} \delta\left(x\right) + \frac{4 \operatorname{sign}{\left(x \right)}}{\sqrt{x}} - \frac{\left|{x}\right|}{x^{\frac{3}{2}}}\right)}{x^{4} \sqrt{\frac{3 x^{2} - 4}{x^{3}}}} - \frac{\left(x^{2} - 4\right) \left(\frac{3 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right) \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{\left(3 x^{2} - 4\right)^{2}} + \frac{8 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{x^{2} \left(3 x^{2} - 4\right)} - \frac{3 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(\frac{3 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)^{2}}{\left(3 x^{2} - 4\right)^{2}} - \frac{12 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{\left(3 x^{2} - 4\right)^{2}} + \frac{22 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} - \frac{4 x^{2} \left(5 - \frac{2 \left(3 x^{2} - 4\right)}{x^{2}}\right)}{3 x^{2} - 4} + 16\right)}{x^{2} \left(3 x^{2} - 4\right)} + \frac{\left(\frac{3 \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + \frac{8}{x^{2}}\right) \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{x^{3} \sqrt{\frac{3 x^{2} - 4}{x^{3}}}}\right) \left|{x}\right|}{\sqrt{x}}\right)}{8}

Simplificar

Tercera derivada [src]

  /                                                                                                                                                                                                                        /                                                                          /                                                                            2                        \                                                                                                                  \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           \
  |                                                                                                                                                                                                                        |                                                                          |           /            2\        /      /        2\\        /            2\          /            2\|                                                                                                                  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           |
  |                                                                                                                                                                                                                        |/         /            2\\ /       /            2\\                       |         4 |    -4 + 3*x |      2 |    2*\-4 + 3*x /|      4 |    -4 + 3*x |        2 |    -4 + 3*x ||                                       /         /            2\\                       /         /            2\\|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           |
  |                                                                                                                                                                                                                        ||       2 |    -4 + 3*x || |       |    -4 + 3*x ||           ___________ |     12*x *|2 - ---------|   4*x *|5 - -------------|   3*x *|2 - ---------|    22*x *|2 - ---------||                                       |       2 |    -4 + 3*x ||                       |       2 |    -4 + 3*x |||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           |
  |                                                                                                                                                                                                                        ||    3*x *|2 - ---------|| |     3*|2 - ---------||          /         2  |           |         2   |        |           2     |        |         2   |          |         2   ||           ___________                 |    3*x *|2 - ---------||           ___________ |    3*x *|2 - ---------|||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           |
  |                                                                                                                                                                                                                        ||         |         2   || |       |         2   ||         /  -4 + 3*x   |           \        x    /        \          x      /        \        x    /          \        x    /|          /         2  /            2\ |         |         2   ||          /         2  |         |         2   |||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           |
  |                                                                                                                                                                                                                        ||         \        x    /| |8      \        x    /|   3*   /   --------- *|16 - --------------------- - ------------------------ + --------------------- + ---------------------|         /  -4 + 3*x   |    -4 + 3*x | |         \        x    /|         /  -4 + 3*x   |         \        x    /||                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           |
  |                                                                                                                                                                                                                        ||8 + --------------------|*|-- + -----------------|       /         3     |                     2                      2                           2                     2      |   3*   /   --------- *|2 - ---------|*|8 + --------------------|   8*   /   --------- *|8 + --------------------||                   /                           /                      2                                                                   \                        /                                                                            2                        \                        /                                                                            2                        \                              /                                                                            2                        \                       /                                                                                 2                                                    3                                                     2                                                                                              \                                                                                                                                                                                                                                                                     /                                                                            2                        \                                                                                                                                                                                                                \                                                                                                                                                            |
  |                                                                                                                                                                                                                        ||                 2      | | 2               2    |     \/         x      |          /        2\               -4 + 3*x                 /        2\              -4 + 3*x       |       /         3     |         2   | |                 2      |       /         3     |                 2      ||                   |/         /            2\\ |       /            2\       /            2\      /      /        2\\      /            2\|                        |           /            2\        /      /        2\\        /            2\          /            2\|                        |           /            2\        /      /        2\\        /            2\          /            2\|     /       /            2\\ |           /            2\        /      /        2\\        /            2\          /            2\|                       |            /            2\          /      /        2\\          /            2\         /        /        2\\        /            2\          /      /        2\\          /            2\           /            2\          /            2\         /            2\ /      /        2\\|                                                                                                                                                                                                                                                                     |           /            2\        /      /        2\\        /            2\          /            2\|                                                                                                                                                                                                                |                                                                                                                                                            |
  |                                                                                                                                                                     //      2\ / |x|        ___        \      3/2    \ |\         -4 + 3*x       / \x        -4 + 3*x     /                       \          \-4 + 3*x /                                        \-4 + 3*x /                             /     \/         x      \        x    / \         -4 + 3*x       /     \/         x      \         -4 + 3*x       /|                   ||       2 |    -4 + 3*x || |       |    -4 + 3*x |       |    -4 + 3*x |      |    2*\-4 + 3*x /|      |    -4 + 3*x ||                        |         4 |    -4 + 3*x |      2 |    2*\-4 + 3*x /|      4 |    -4 + 3*x |        2 |    -4 + 3*x ||                        |         4 |    -4 + 3*x |      2 |    2*\-4 + 3*x /|      4 |    -4 + 3*x |        2 |    -4 + 3*x ||     |       |    -4 + 3*x || |         4 |    -4 + 3*x |      2 |    2*\-4 + 3*x /|      4 |    -4 + 3*x |        2 |    -4 + 3*x ||                       |          4 |    -4 + 3*x |        2 |    2*\-4 + 3*x /|        6 |    -4 + 3*x |       2 |     10*\-4 + 3*x /|      6 |    -4 + 3*x |        4 |    2*\-4 + 3*x /|        4 |    -4 + 3*x |         6 |    -4 + 3*x |        2 |    -4 + 3*x |       4 |    -4 + 3*x | |    2*\-4 + 3*x /||     /         /            2\\ /       /            2\\                                        /         /            2\\                        /         /            2\\                        /         /            2\\                                       |         4 |    -4 + 3*x |      2 |    2*\-4 + 3*x /|      4 |    -4 + 3*x |        2 |    -4 + 3*x ||                                        /         /            2\\                                            /         /            2\\                     /         /            2\\ /       /            2\\|                           /         /            2\\                                                                                                       |
  |                                                                                                                                                                   3*|\-4 + x /*|----- + 2*\/ x *sign(x)| + 4*x   *|x||*|--------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------- + ----------------------------------------------|                   ||    3*x *|2 - ---------|| |     9*|2 - ---------|    36*|2 - ---------|   12*|5 - -------------|   30*|2 - ---------||            ___________ |     12*x *|2 - ---------|   4*x *|5 - -------------|   3*x *|2 - ---------|    22*x *|2 - ---------||            ___________ |     12*x *|2 - ---------|   4*x *|5 - -------------|   3*x *|2 - ---------|    22*x *|2 - ---------||     |     3*|2 - ---------|| |     12*x *|2 - ---------|   4*x *|5 - -------------|   3*x *|2 - ---------|    22*x *|2 - ---------||           ___________ |     456*x *|2 - ---------|   144*x *|5 - -------------|   108*x *|2 - ---------|    8*x *|27 - --------------|   9*x *|2 - ---------|    96*x *|5 - -------------|   126*x *|2 - ---------|    288*x *|2 - ---------|   312*x *|2 - ---------|   36*x *|2 - ---------|*|5 - -------------||     |       2 |    -4 + 3*x || |       |    -4 + 3*x ||                                        |       2 |    -4 + 3*x ||                        |       2 |    -4 + 3*x ||                        |       2 |    -4 + 3*x ||           ___________                 |     12*x *|2 - ---------|   4*x *|5 - -------------|   3*x *|2 - ---------|    22*x *|2 - ---------||                                        |       2 |    -4 + 3*x ||                                            |       2 |    -4 + 3*x ||                     |       2 |    -4 + 3*x || |       |    -4 + 3*x |||                           |       2 |    -4 + 3*x ||                                                                                                       |
  |                                                                                                                                                                     |          |  ___                  |             | |                         ___________                                                                          2 /        2\                                                                                             2                                             2 /        2\                |                   ||         |         2   || |       |         2   |       |         2   |      |           2     |      |         2   ||           /         2  |           |         2   |        |           2     |        |         2   |          |         2   ||           /         2  |           |         2   |        |           2     |        |         2   |          |         2   ||     |       |         2   || |           |         2   |        |           2     |        |         2   |          |         2   ||          /         2  |            |         2   |          |           2     |          |         2   |         |            2      |        |         2   |          |           2     |          |         2   |           |         2   |          |         2   |         |         2   | |           2     ||     |    3*x *|2 - ---------|| |     3*|2 - ---------||            ___________                 |    3*x *|2 - ---------||            ___________ |    3*x *|2 - ---------||            ___________ |    3*x *|2 - ---------||          /         2  /            2\ |           |         2   |        |           2     |        |         2   |          |         2   ||            ___________                 |    3*x *|2 - ---------||            ___________                     |    3*x *|2 - ---------||                     |    3*x *|2 - ---------|| |     3*|2 - ---------|||               ___________ |    3*x *|2 - ---------||                                                                                                       |
  |                                                                                                                                                                     \          \\/ x                   /             / |                        /         2                                                                          x *\-4 + 3*x /                                                                                  /        2\                                             x *\-4 + 3*x /                |                   ||         \        x    /| |80     \        x    /       \        x    /      \          x      /      \        x    /|          /  -4 + 3*x   |           \        x    /        \          x      /        \        x    /          \        x    /|          /  -4 + 3*x   |           \        x    /        \          x      /        \        x    /          \        x    /|     |8      \        x    /| |           \        x    /        \          x      /        \        x    /          \        x    /|         /  -4 + 3*x   |            \        x    /          \          x      /          \        x    /         \           x       /        \        x    /          \          x      /          \        x    /           \        x    /          \        x    /         \        x    / \          x      /|     |         |         2   || |       |         2   ||           /         2  /            2\ |         |         2   ||           /         2  |         |         2   ||           /         2  |         |         2   ||         /  -4 + 3*x   |    -4 + 3*x | |           \        x    /        \          x      /        \        x    /          \        x    /|           /         2  /            2\ |         |         2   ||           /         2  /      /        2\\ |         |         2   ||     /            2\ |         |         2   || |       |         2   |||              /         2  |         |         2   ||                                                                                                       |
  |  /      2\ /  6*sign(x)   3*|x|        ___                    24*DiracDelta(x)\        /  |x|    4*sign(x)       ___              \   24*|x|        ___                                                                |                 3     /  -4 + 3*x                                                                                                                                                                           \-4 + 3*x /                                                                           |                   ||8 + --------------------|*|-- + ------------------ + ------------------ + ---------------------- + ------------------|   54*   /   --------- *|16 - --------------------- - ------------------------ + --------------------- + ---------------------|   36*   /   --------- *|16 - --------------------- - ------------------------ + --------------------- + ---------------------|   3*|-- + -----------------|*|16 - --------------------- - ------------------------ + --------------------- + ---------------------|   3*   /   --------- *|64 - ---------------------- - -------------------------- - ----------------------- + -------------------------- + --------------------- + ------------------------- + ----------------------- + ---------------------- + ---------------------- - -----------------------------------------|     |         \        x    /| |8      \        x    /|          /  -4 + 3*x   |    -4 + 3*x | |         \        x    /|          /  -4 + 3*x   |         \        x    /|          /  -4 + 3*x   |         \        x    /|   9*   /   --------- *|2 - ---------|*|16 - --------------------- - ------------------------ + --------------------- + ---------------------|          /  -4 + 3*x   |    -4 + 3*x | |         \        x    /|          /  -4 + 3*x   |    2*\-4 + 3*x /| |         \        x    /|     |    -4 + 3*x | |         \        x    /| |8      \        x    /||             /  -4 + 3*x   |         \        x    /| //      2\ /  |x|    4*sign(x)       ___              \       / |x|        ___        \       ___    \|
  |  \-4 + x /*|- --------- + ----- + 16*\/ x *DiracDelta(x, 1) + ----------------| + 12*x*|- ---- + --------- + 8*\/ x *DiracDelta(x)| + ------ + 48*\/ x *sign(x)                                                        |                x *   /   ---------                                                                                                                                                                                                                                                                |                   ||                 2      | | 4                 2                    2           2 /        2\          2 /        2\  |        /         3     |                     2                      2                           2                     2      |        /         3     |                     2                      2                           2                     2      |     | 2               2    | |                     2                      2                           2                     2      |       /         3     |                     2                        2                             3                        2                            3                         2                          2                        3                      2                                    2              |   8*|8 + --------------------|*|-- + -----------------|   72*   /   --------- *|2 - ---------|*|8 + --------------------|   96*   /   --------- *|8 + --------------------|   96*   /   --------- *|8 + --------------------|       /         3     |         2   | |                     2                      2                           2                     2      |   12*   /   --------- *|2 - ---------|*|8 + --------------------|   12*   /   --------- *|5 - -------------|*|8 + --------------------|   3*|2 - ---------|*|8 + --------------------|*|-- + -----------------||       3*   /   --------- *|8 + --------------------|*|\-4 + x /*|- ---- + --------- + 8*\/ x *DiracDelta(x)| + 8*x*|----- + 2*\/ x *sign(x)| + 8*\/ x *|x|||
  |            |      3/2       5/2                                      ___      |        |   3/2       ___                          |     ___                                                                            |                     /         3                                                                                                                                                                                                                                                                   |                   |\         -4 + 3*x       / |x       /        2\          /        2\           x *\-4 + 3*x /         x *\-4 + 3*x /  |      \/         x      |          /        2\               -4 + 3*x                 /        2\              -4 + 3*x       |      \/         x      |          /        2\               -4 + 3*x                 /        2\              -4 + 3*x       |     \x        -4 + 3*x     / |          /        2\               -4 + 3*x                 /        2\              -4 + 3*x       |     \/         x      |          /        2\                 -4 + 3*x                   /        2\                 -4 + 3*x                  /        2\               /        2\                /        2\              /        2\               -4 + 3*x                          /        2\               |     |                 2      | | 2               2    |        /         3     |         2   | |                 2      |        /         3     |                 2      |        /         3     |                 2      |     \/         x      \        x    / |          /        2\               -4 + 3*x                 /        2\              -4 + 3*x       |        /         3     |         2   | |                 2      |        /         3     |           2     | |                 2      |     |         2   | |                 2      | | 2               2    ||           /         3     |                 2      | |          |   3/2       ___                          |       |  ___                  |              ||
  |            \     x         x                                       \/ x       /        \  x        \/ x                           /   \/ x                                                                             \                   \/         x                                                                                                                                                                                                                                                                    /     ___ /      2\ |                           \        \-4 + 3*x /          \-4 + 3*x /                                                  /                        \          \-4 + 3*x /                                        \-4 + 3*x /                             /                        \          \-4 + 3*x /                                        \-4 + 3*x /                             /                              \          \-4 + 3*x /                                        \-4 + 3*x /                             /                       \          \-4 + 3*x /                                            \-4 + 3*x /                                           \-4 + 3*x /               \-4 + 3*x /                \-4 + 3*x /              \-4 + 3*x /                                                 \-4 + 3*x /               /     \         -4 + 3*x       / \x        -4 + 3*x     /      \/         x      \        x    / \         -4 + 3*x       /      \/         x      \         -4 + 3*x       /      \/         x      \         -4 + 3*x       /                                       \          \-4 + 3*x /                                        \-4 + 3*x /                             /      \/         x      \        x    / \         -4 + 3*x       /      \/         x      \          x      / \         -4 + 3*x       /     \        x    / \         -4 + 3*x       / \x        -4 + 3*x     /|         \/         x      \         -4 + 3*x       / \          \  x        \/ x                           /       \\/ x                   /              /|
3*|- -------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + \/ x *\-4 + x /*|----------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------- + --------------------------------------------------------------- + ----------------------------------------------- + ----------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------- + ------------------------------------------------------------------- + ---------------------------------------------------------------------|*|x| + -----------------------------------------------------------------------------------------------------------------------------------------------------|
  |                                                                                ___________                                                                                                                                                                                                                                                    x                                                                                                                                                                                                |                                                           ___________                                                                                                            4 /        2\                                                                                                                              2                                                                                                                          ___________                                                                                                                                                                                                             4 /        2\                                                                                                                                                                              ___________                                                        3                                              4 /        2\                                                 2                                                                                               2                                                                                                       2                                                                   2                                                         ___________                              |                                                                            2 /        2\                                                                   |
  |                                                                               /         2                                                                                                                                                                                                                                                                                                                                                                                                                                                      |                                                          /         2                                                                                                            x *\-4 + 3*x /                                                                                                                 2 /        2\                                                                                                                          /         2                                                                                                                                                                                                             x *\-4 + 3*x /                                                                                                                                                                             /         2                                              /        2\                                              x *\-4 + 3*x /                                    2 /        2\                                                                                   2 /        2\                                                                                           2 /        2\                                                       2 /        2\                                                         /         2                               |                                                                           x *\-4 + 3*x /                                                                   |
  |                                                                        4     /  -4 + 3*x                                                                                                                                                                                                                                                                                                                                                                                                                                                       |                                                   3     /  -4 + 3*x                                                                                                                                                                                                                                           x *\-4 + 3*x /                                                                                                                   5     /  -4 + 3*x                                                                                                                                                                                                                                                                                                                                                                                                  5     /  -4 + 3*x                                               \-4 + 3*x /                                                                                               x *\-4 + 3*x /                                                                                  x *\-4 + 3*x /                                                                                          x *\-4 + 3*x /                                                      x *\-4 + 3*x /                                                  3     /  -4 + 3*x   /        2\                  |                                                                                                                                                            |
  |                                                                       x *   /   ---------                                                                                                                                                                                                                                                                                                                                                                                                                                                      |                                                  x *   /   ---------                                                                                                                                                                                                                                                                                                                                                                          x *   /   ---------                                                                                                                                                                                                                                                                                                                                                                                                x *   /   ---------                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   x *   /   --------- *\-4 + 3*x /                  |                                                                                                                                                            |
  |                                                                            /         3                                                                                                                                                                                                                                                                                                                                                                                                                                                         |                                                       /         3                                                                                                                                                                                                                                                                                                                                                                                  /         3                                                                                                                                                                                                                                                                                                                                                                                                        /         3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           /         3                                  |                                                                                                                                                            |
  \                                                                          \/         x                                                                                                                                                                                                                                                                                                                                                                                                                                                          \                                                     \/         x                                                                                                                                                                                                                                                                                                                                                                                 \/         x                                                                                                                                                                                                                                                                                                                                                                                                       \/         x                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \/         x                                   /                                                                                                                                                            /
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\frac{3 \left(\sqrt{x} \left(x^{2} - 4\right) \left(\frac{72 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right) \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{\left(3 x^{2} - 4\right)^{3}} + \frac{12 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right) \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{x^{2} \left(3 x^{2} - 4\right)^{2}} - \frac{9 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right) \left(\frac{3 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)^{2}}{\left(3 x^{2} - 4\right)^{2}} - \frac{12 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{\left(3 x^{2} - 4\right)^{2}} + \frac{22 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} - \frac{4 x^{2} \left(5 - \frac{2 \left(3 x^{2} - 4\right)}{x^{2}}\right)}{3 x^{2} - 4} + 16\right)}{x^{2} \left(3 x^{2} - 4\right)^{2}} + \frac{12 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(5 - \frac{2 \left(3 x^{2} - 4\right)}{x^{2}}\right) \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{x^{2} \left(3 x^{2} - 4\right)^{2}} + \frac{96 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{x^{2} \left(3 x^{2} - 4\right)^{2}} - \frac{36 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(\frac{3 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)^{2}}{\left(3 x^{2} - 4\right)^{2}} - \frac{12 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{\left(3 x^{2} - 4\right)^{2}} + \frac{22 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} - \frac{4 x^{2} \left(5 - \frac{2 \left(3 x^{2} - 4\right)}{x^{2}}\right)}{3 x^{2} - 4} + 16\right)}{x^{2} \left(3 x^{2} - 4\right)^{2}} + \frac{3 \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right) \left(\frac{3 \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + \frac{8}{x^{2}}\right) \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{x^{3} \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(3 x^{2} - 4\right)} + \frac{\left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right) \left(\frac{9 \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)^{2}}{\left(3 x^{2} - 4\right)^{2}} + \frac{36 \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{\left(3 x^{2} - 4\right)^{2}} + \frac{30 \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{x^{2} \left(3 x^{2} - 4\right)} + \frac{12 \left(5 - \frac{2 \left(3 x^{2} - 4\right)}{x^{2}}\right)}{x^{2} \left(3 x^{2} - 4\right)} + \frac{80}{x^{4}}\right)}{x^{3} \sqrt{\frac{3 x^{2} - 4}{x^{3}}}} + \frac{96 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{x^{4} \left(3 x^{2} - 4\right)} - \frac{54 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(\frac{3 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)^{2}}{\left(3 x^{2} - 4\right)^{2}} - \frac{12 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{\left(3 x^{2} - 4\right)^{2}} + \frac{22 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} - \frac{4 x^{2} \left(5 - \frac{2 \left(3 x^{2} - 4\right)}{x^{2}}\right)}{3 x^{2} - 4} + 16\right)}{x^{4} \left(3 x^{2} - 4\right)} + \frac{3 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(\frac{9 x^{6} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)^{3}}{\left(3 x^{2} - 4\right)^{3}} - \frac{108 x^{6} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)^{2}}{\left(3 x^{2} - 4\right)^{3}} + \frac{288 x^{6} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{\left(3 x^{2} - 4\right)^{3}} + \frac{126 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)^{2}}{\left(3 x^{2} - 4\right)^{2}} - \frac{36 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right) \left(5 - \frac{2 \left(3 x^{2} - 4\right)}{x^{2}}\right)}{\left(3 x^{2} - 4\right)^{2}} - \frac{456 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{\left(3 x^{2} - 4\right)^{2}} + \frac{96 x^{4} \left(5 - \frac{2 \left(3 x^{2} - 4\right)}{x^{2}}\right)}{\left(3 x^{2} - 4\right)^{2}} + \frac{312 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} - \frac{144 x^{2} \left(5 - \frac{2 \left(3 x^{2} - 4\right)}{x^{2}}\right)}{3 x^{2} - 4} + \frac{8 x^{2} \left(27 - \frac{10 \left(3 x^{2} - 4\right)}{x^{2}}\right)}{3 x^{2} - 4} + 64\right)}{x^{4} \left(3 x^{2} - 4\right)} + \frac{8 \left(\frac{3 \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + \frac{8}{x^{2}}\right) \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{x^{5} \sqrt{\frac{3 x^{2} - 4}{x^{3}}}} - \frac{3 \left(\frac{3 \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + \frac{8}{x^{2}}\right) \left(\frac{3 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)^{2}}{\left(3 x^{2} - 4\right)^{2}} - \frac{12 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{\left(3 x^{2} - 4\right)^{2}} + \frac{22 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} - \frac{4 x^{2} \left(5 - \frac{2 \left(3 x^{2} - 4\right)}{x^{2}}\right)}{3 x^{2} - 4} + 16\right)}{x^{5} \sqrt{\frac{3 x^{2} - 4}{x^{3}}}}\right) \left|{x}\right| - \frac{3 \left(4 x^{\frac{3}{2}} \left|{x}\right| + \left(x^{2} - 4\right) \left(2 \sqrt{x} \operatorname{sign}{\left(x \right)} + \frac{\left|{x}\right|}{\sqrt{x}}\right)\right) \left(\frac{3 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right) \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{\left(3 x^{2} - 4\right)^{2}} + \frac{8 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{x^{2} \left(3 x^{2} - 4\right)} - \frac{3 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(\frac{3 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)^{2}}{\left(3 x^{2} - 4\right)^{2}} - \frac{12 x^{4} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{\left(3 x^{2} - 4\right)^{2}} + \frac{22 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} - \frac{4 x^{2} \left(5 - \frac{2 \left(3 x^{2} - 4\right)}{x^{2}}\right)}{3 x^{2} - 4} + 16\right)}{x^{2} \left(3 x^{2} - 4\right)} + \frac{\left(\frac{3 \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + \frac{8}{x^{2}}\right) \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right)}{x^{3} \sqrt{\frac{3 x^{2} - 4}{x^{3}}}}\right)}{x} + \frac{3 \sqrt{\frac{3 x^{2} - 4}{x^{3}}} \left(\frac{3 x^{2} \left(2 - \frac{3 x^{2} - 4}{x^{2}}\right)}{3 x^{2} - 4} + 8\right) \left(8 \sqrt{x} \left|{x}\right| + 8 x \left(2 \sqrt{x} \operatorname{sign}{\left(x \right)} + \frac{\left|{x}\right|}{\sqrt{x}}\right) + \left(x^{2} - 4\right) \left(8 \sqrt{x} \delta\left(x\right) + \frac{4 \operatorname{sign}{\left(x \right)}}{\sqrt{x}} - \frac{\left|{x}\right|}{x^{\frac{3}{2}}}\right)\right)}{x^{2} \left(3 x^{2} - 4\right)} - \frac{48 \sqrt{x} \operatorname{sign}{\left(x \right)} + 12 x \left(8 \sqrt{x} \delta\left(x\right) + \frac{4 \operatorname{sign}{\left(x \right)}}{\sqrt{x}} - \frac{\left|{x}\right|}{x^{\frac{3}{2}}}\right) + \left(x^{2} - 4\right) \left(16 \sqrt{x} \delta^{\left( 1 \right)}\left( x \right) + \frac{24 \delta\left(x\right)}{\sqrt{x}} - \frac{6 \operatorname{sign}{\left(x \right)}}{x^{\frac{3}{2}}} + \frac{3 \left|{x}\right|}{x^{\frac{5}{2}}}\right) + \frac{24 \left|{x}\right|}{\sqrt{x}}}{x^{4} \sqrt{\frac{3 x^{2} - 4}{x^{3}}}}\right)}{16}

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Derivada de |x|sqrt(x)3*(4-x^2)/(2x^4sqrt((3x^2-4)/x^3))

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Derivada de |x|*sqrt(x)*3*(4-x^2)/(2*x^4*sqrt((3x^2-4)/x^3))

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Derivada de |x|sqrt(x)3*(4-x^2)/(2x^4sqrt((3x^2-4)/x^3))