Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
Derivada de:
Derivada de 5/(x^2)
Derivada de (-5x+11)^4
Derivada de -4x/(x^2-1)^2
Derivada de 5/16-t/4-(3*e^(-2*t))/32+(e^(2*t))/32
Expresiones idénticas
y=(((x+ uno)^ dos)^(uno / cinco))/(((x- tres)^ dos)*((x- cuatro)^ tres))
y es igual a (((x más 1) al cuadrado ) en el grado (1 dividir por 5)) dividir por (((x menos 3) al cuadrado ) multiplicar por ((x menos 4) al cubo ))
y es igual a (((x más uno) en el grado dos) en el grado (uno dividir por cinco)) dividir por (((x menos tres) en el grado dos) multiplicar por ((x menos cuatro) en el grado tres))
y=(((x+1)2)(1/5))/(((x-3)2)*((x-4)3))
y=x+121/5/x-32*x-43
y=(((x+1)²)^(1/5))/(((x-3)²)*((x-4)³))
y=(((x+1) en el grado 2) en el grado (1/5))/(((x-3) en el grado 2)*((x-4) en el grado 3))
y=(((x+1)^2)^(1/5))/(((x-3)^2)((x-4)^3))
y=(((x+1)2)(1/5))/(((x-3)2)((x-4)3))
y=x+121/5/x-32x-43
y=x+1^2^1/5/x-3^2x-4^3
y=(((x+1)^2)^(1 dividir por 5)) dividir por (((x-3)^2)*((x-4)^3))
Expresiones semejantes
y=(((x-1)^2)^(1/5))/(((x-3)^2)*((x-4)^3))
y=(((x+1)^2)^(1/5))/(((x-3)^2)*((x+4)^3))
y=(((x+1)^2)^(1/5))/(((x+3)^2)*((x-4)^3))

Derivada de la función/ y=(((x+1)^2)^(1/5))/(((x-3)^2)*((x-4)^3))

Derivada de y=(((x+1)^2)^(1/5))/(((x-3)^2)*((x-4)^3))

Solución

Ha introducido [src]

     __________  
  5 /        2   
  \/  (x + 1)    
-----------------
       2        3
(x - 3) *(x - 4)

\frac{\sqrt[5]{\left(x + 1\right)^{2}}}{\left(x - 4\right)^{3} \left(x - 3\right)^{2}}

((x + 1)^2)^(1/5)/(((x - 3)^2*(x - 4)^3))

Primera derivada [src]

       2/5         1         /2   2*x\                                                           
|x + 1|   *-----------------*|- + ---|                                                           
                  3        2 \5    5 /          2/5 /         3                       2        2\
           (x - 4) *(x - 3)              |x + 1|   *\- (x - 4) *(-6 + 2*x) - 3*(x - 4) *(x - 3) /
-------------------------------------- + --------------------------------------------------------
                      2                                            6        4                    
               (x + 1)                                      (x - 4) *(x - 3)

\frac{\frac{1}{\left(x - 4\right)^{3} \left(x - 3\right)^{2}} \left(\frac{2 x}{5} + \frac{2}{5}\right) \left|{x + 1}\right|^{\frac{2}{5}}}{\left(x + 1\right)^{2}} + \frac{\left(- \left(x - 4\right)^{3} \left(2 x - 6\right) - 3 \left(x - 4\right)^{2} \left(x - 3\right)^{2}\right) \left|{x + 1}\right|^{\frac{2}{5}}}{\left(x - 4\right)^{6} \left(x - 3\right)^{4}}

Simplificar

Segunda derivada [src]

  /           2/5                \                                                                                                                                                               
  |  5*|1 + x|      2*sign(1 + x)|              /                                                                  /        2             2                      \\                              
2*|- ------------ + -------------|          2/5 |            /  2        3   \   2*(-17 + 5*x)   3*(-17 + 5*x)   2*\(-4 + x)  + 3*(-3 + x)  + 6*(-4 + x)*(-3 + x)/|                              
  |     1 + x                3/5 |   |1 + x|   *|(-17 + 5*x)*|------ + ------| + ------------- + ------------- - -------------------------------------------------|              2/5             
  \                   |1 + x|    /              \            \-3 + x   -4 + x/       -3 + x          -4 + x                      (-4 + x)*(-3 + x)                /     4*|1 + x|   *(-17 + 5*x) 
---------------------------------- + ------------------------------------------------------------------------------------------------------------------------------ - ---------------------------
            25*(1 + x)                                                                     (-4 + x)*(-3 + x)                                                          5*(1 + x)*(-4 + x)*(-3 + x)
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                               3         2                                                                                       
                                                                                       (-4 + x) *(-3 + x)

\frac{\frac{2 \left(\frac{2 \operatorname{sign}{\left(x + 1 \right)}}{\left|{x + 1}\right|^{\frac{3}{5}}} - \frac{5 \left|{x + 1}\right|^{\frac{2}{5}}}{x + 1}\right)}{25 \left(x + 1\right)} + \frac{\left(\left(5 x - 17\right) \left(\frac{2}{x - 3} + \frac{3}{x - 4}\right) + \frac{2 \left(5 x - 17\right)}{x - 3} + \frac{3 \left(5 x - 17\right)}{x - 4} - \frac{2 \left(\left(x - 4\right)^{2} + 6 \left(x - 4\right) \left(x - 3\right) + 3 \left(x - 3\right)^{2}\right)}{\left(x - 4\right) \left(x - 3\right)}\right) \left|{x + 1}\right|^{\frac{2}{5}}}{\left(x - 4\right) \left(x - 3\right)} - \frac{4 \left(5 x - 17\right) \left|{x + 1}\right|^{\frac{2}{5}}}{5 \left(x - 4\right) \left(x - 3\right) \left(x + 1\right)}}{\left(x - 4\right)^{3} \left(x - 3\right)^{2}}

Simplificar

Tercera derivada [src]

                                                                                              /                                                                                                                                                                                                                      /  2        3   \                 /  2        3   \                                                                             /  2        3   \ /        2             2                      \\                                                                                                                                                                                    
  /        2                                           2/5                     \              |                                                                                                 /        2             2                      \      /        2             2                      \   2*(-17 + 5*x)*|------ + ------|   3*(-17 + 5*x)*|------ + ------|     /        2             2                      \                       2*|------ + ------|*\(-4 + x)  + 3*(-3 + x)  + 6*(-4 + x)*(-3 + x)/|                 /           2/5                \                                                                                                                                   
  |  3*sign (1 + x)   10*DiracDelta(1 + x)   25*|1 + x|        10*sign(1 + x)  |          2/5 |              /    1           2               2        \   10*(-17 + 5*x)   21*(-17 + 5*x)   18*\(-4 + x)  + 3*(-3 + x)  + 6*(-4 + x)*(-3 + x)/   12*\(-4 + x)  + 3*(-3 + x)  + 6*(-4 + x)*(-3 + x)/                 \-3 + x   -4 + x/                 \-3 + x   -4 + x/   6*\(-3 + x)  + 3*(-4 + x)  + 6*(-4 + x)*(-3 + x)/     24*(-17 + 5*x)      \-3 + x   -4 + x/                                                |                 |  5*|1 + x|      2*sign(1 + x)|                /                                                                  /        2             2                      \\
4*|- -------------- + -------------------- + ------------- - ------------------|   |1 + x|   *|6*(-17 + 5*x)*|--------- + --------- + -----------------| + -------------- + -------------- - -------------------------------------------------- - -------------------------------------------------- + ------------------------------- + ------------------------------- + ------------------------------------------------- + ----------------- - -------------------------------------------------------------------|   6*(-17 + 5*x)*|- ------------ + -------------|            2/5 |            /  2        3   \   2*(-17 + 5*x)   3*(-17 + 5*x)   2*\(-4 + x)  + 3*(-3 + x)  + 6*(-4 + x)*(-3 + x)/|
  |           8/5                 3/5                  2                    3/5|              |              |        2           2   (-4 + x)*(-3 + x)|             2                2                              2                                                             2                                -3 + x                            -4 + x                                       2                           (-4 + x)*(-3 + x)                            (-4 + x)*(-3 + x)                         |                 |     1 + x                3/5 |   6*|1 + x|   *|(-17 + 5*x)*|------ + ------| + ------------- + ------------- - -------------------------------------------------|
  \    |1 + x|             |1 + x|              (1 + x)      (1 + x)*|1 + x|   /              \              \(-3 + x)    (-4 + x)                     /     (-3 + x)         (-4 + x)                       (-4 + x) *(-3 + x)                                   (-4 + x)*(-3 + x)                                                                                                        (-4 + x) *(-3 + x)                                                                                                         /                 \                   |1 + x|    /                \            \-3 + x   -4 + x/       -3 + x          -4 + x                      (-4 + x)*(-3 + x)                /
-------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ---------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------
                                  125*(1 + x)                                                                                                                                                                                                                                               (-4 + x)*(-3 + x)                                                                                                                                                                                                                      25*(1 + x)*(-4 + x)*(-3 + x)                                                              5*(1 + x)*(-4 + x)*(-3 + x)                                                   
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                                                                                                    3         2                                                                                                                                                                                                                                                                                                                                            
                                                                                                                                                                                                                                                                                                                                            (-4 + x) *(-3 + x)

\frac{\frac{4 \left(\frac{10 \delta\left(x + 1\right)}{\left|{x + 1}\right|^{\frac{3}{5}}} - \frac{3 \operatorname{sign}^{2}{\left(x + 1 \right)}}{\left|{x + 1}\right|^{\frac{8}{5}}} - \frac{10 \operatorname{sign}{\left(x + 1 \right)}}{\left(x + 1\right) \left|{x + 1}\right|^{\frac{3}{5}}} + \frac{25 \left|{x + 1}\right|^{\frac{2}{5}}}{\left(x + 1\right)^{2}}\right)}{125 \left(x + 1\right)} - \frac{\left(6 \left(5 x - 17\right) \left(\frac{1}{\left(x - 3\right)^{2}} + \frac{2}{\left(x - 4\right) \left(x - 3\right)} + \frac{2}{\left(x - 4\right)^{2}}\right) + \frac{2 \left(5 x - 17\right) \left(\frac{2}{x - 3} + \frac{3}{x - 4}\right)}{x - 3} + \frac{10 \left(5 x - 17\right)}{\left(x - 3\right)^{2}} + \frac{3 \left(5 x - 17\right) \left(\frac{2}{x - 3} + \frac{3}{x - 4}\right)}{x - 4} + \frac{24 \left(5 x - 17\right)}{\left(x - 4\right) \left(x - 3\right)} - \frac{2 \left(\frac{2}{x - 3} + \frac{3}{x - 4}\right) \left(\left(x - 4\right)^{2} + 6 \left(x - 4\right) \left(x - 3\right) + 3 \left(x - 3\right)^{2}\right)}{\left(x - 4\right) \left(x - 3\right)} - \frac{12 \left(\left(x - 4\right)^{2} + 6 \left(x - 4\right) \left(x - 3\right) + 3 \left(x - 3\right)^{2}\right)}{\left(x - 4\right) \left(x - 3\right)^{2}} + \frac{21 \left(5 x - 17\right)}{\left(x - 4\right)^{2}} - \frac{18 \left(\left(x - 4\right)^{2} + 6 \left(x - 4\right) \left(x - 3\right) + 3 \left(x - 3\right)^{2}\right)}{\left(x - 4\right)^{2} \left(x - 3\right)} + \frac{6 \left(3 \left(x - 4\right)^{2} + 6 \left(x - 4\right) \left(x - 3\right) + \left(x - 3\right)^{2}\right)}{\left(x - 4\right)^{2} \left(x - 3\right)}\right) \left|{x + 1}\right|^{\frac{2}{5}}}{\left(x - 4\right) \left(x - 3\right)} - \frac{6 \left(5 x - 17\right) \left(\frac{2 \operatorname{sign}{\left(x + 1 \right)}}{\left|{x + 1}\right|^{\frac{3}{5}}} - \frac{5 \left|{x + 1}\right|^{\frac{2}{5}}}{x + 1}\right)}{25 \left(x - 4\right) \left(x - 3\right) \left(x + 1\right)} + \frac{6 \left(\left(5 x - 17\right) \left(\frac{2}{x - 3} + \frac{3}{x - 4}\right) + \frac{2 \left(5 x - 17\right)}{x - 3} + \frac{3 \left(5 x - 17\right)}{x - 4} - \frac{2 \left(\left(x - 4\right)^{2} + 6 \left(x - 4\right) \left(x - 3\right) + 3 \left(x - 3\right)^{2}\right)}{\left(x - 4\right) \left(x - 3\right)}\right) \left|{x + 1}\right|^{\frac{2}{5}}}{5 \left(x - 4\right) \left(x - 3\right) \left(x + 1\right)}}{\left(x - 4\right)^{3} \left(x - 3\right)^{2}}

Simplificar

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Derivada de y=(((x+1)^2)^(1/5))/(((x-3)^2)*((x-4)^3))

Gráfico:

Definida a trozos:

Solución