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Derivada de 4-x²
Derivada de 3^(1/x)
Derivada de 2*x+8/x
Derivada de (-1)/x-3*x
Expresiones idénticas
y=(x- tres)(x+ dos)(9x- siete)/(tres *((x+ dos)·(x- tres)^ dos)^ uno / tres)
y es igual a (x menos 3)(x más 2)(9x menos 7) dividir por (3 multiplicar por ((x más 2)·(x menos 3) al cuadrado ) en el grado 1 dividir por 3)
y es igual a (x menos tres)(x más dos)(9x menos siete) dividir por (tres multiplicar por ((x más dos)·(x menos tres) en el grado dos) en el grado uno dividir por tres)
y=(x-3)(x+2)(9x-7)/(3*((x+2)·(x-3)2)1/3)
y=x-3x+29x-7/3*x+2·x-321/3
y=(x-3)(x+2)(9x-7)/(3*((x+2)·(x-3)²)^1/3)
y=(x-3)(x+2)(9x-7)/(3*((x+2)·(x-3) en el grado 2) en el grado 1/3)
y=(x-3)(x+2)(9x-7)/(3((x+2)·(x-3)^2)^1/3)
y=(x-3)(x+2)(9x-7)/(3((x+2)·(x-3)2)1/3)
y=x-3x+29x-7/3x+2·x-321/3
y=x-3x+29x-7/3x+2·x-3^2^1/3
y=(x-3)(x+2)(9x-7) dividir por (3*((x+2)·(x-3)^2)^1 dividir por 3)
Expresiones semejantes
y=(x-3)(x+2)(9x-7)/(3*((x+2)·(x+3)^2)^1/3)
y=(x-3)(x+2)(9x-7)/(3*((x-2)·(x-3)^2)^1/3)
y=(x+3)(x+2)(9x-7)/(3*((x+2)·(x-3)^2)^1/3)
y=(x-3)(x+2)(9x+7)/(3*((x+2)·(x-3)^2)^1/3)
y=(x-3)(x-2)(9x-7)/(3*((x+2)·(x-3)^2)^1/3)

Derivada de la función/ y=(x-3)(x+2)(9x-7)/(3*((x+2)·(x-3)^2)^1/3)

Derivada de y=(x-3)(x+2)(9x-7)/(3*((x+2)·(x-3)^2)^1/3)

Solución

Ha introducido [src]

(x - 3)*(x + 2)*(9*x - 7)
-------------------------
      __________________ 
   3 /                2  
 3*\/  (x + 2)*(x - 3)

\frac{\left(x - 3\right) \left(x + 2\right) \left(9 x - 7\right)}{3 \sqrt[3]{\left(x - 3\right)^{2} \left(x + 2\right)}}

(((x - 3)*(x + 2))*(9*x - 7))/((3*((x + 2)*(x - 3)^2)^(1/3)))

Primera derivada [src]

                                                                              /       2                     \
                                                                              |(x - 3)    (-6 + 2*x)*(x + 2)|
                                                                    (9*x - 7)*|-------- + ------------------|
          1                                                                   \   3               3         /
----------------------*((-1 + 2*x)*(9*x - 7) + 9*(x - 3)*(x + 2)) - -----------------------------------------
  3 _______        2/3                                                              3 _______        2/3     
3*\/ x + 2 *|x - 3|                                                       3*(x - 3)*\/ x + 2 *|x - 3|

\frac{1}{3 \sqrt[3]{x + 2} \left|{x - 3}\right|^{\frac{2}{3}}} \left(9 \left(x - 3\right) \left(x + 2\right) + \left(2 x - 1\right) \left(9 x - 7\right)\right) - \frac{\left(9 x - 7\right) \left(\frac{\left(x - 3\right)^{2}}{3} + \frac{\left(x + 2\right) \left(2 x - 6\right)}{3}\right)}{3 \left(x - 3\right) \sqrt[3]{x + 2} \left|{x - 3}\right|^{\frac{2}{3}}}

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Segunda derivada [src]

                          /          /  1     2*sign(-3 + x)\   6*(-4 + 3*x)   3*(1 + 3*x)   6*(1 + 3*x)\   6*(1 + 3*x)*((-1 + 2*x)*(-7 + 9*x) + 9*(-3 + x)*(2 + x))
-288 + 486*x + (-7 + 9*x)*|(1 + 3*x)*|----- + --------------| - ------------ + ----------- + -----------| - --------------------------------------------------------
                          \          \2 + x      |-3 + x|   /      -3 + x         2 + x         -3 + x  /                       (-3 + x)*(2 + x)                    
--------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                         3 _______         2/3                                                                      
                                                                      27*\/ 2 + x *|-3 + x|

\frac{486 x + \left(9 x - 7\right) \left(\left(3 x + 1\right) \left(\frac{2 \operatorname{sign}{\left(x - 3 \right)}}{\left|{x - 3}\right|} + \frac{1}{x + 2}\right) + \frac{3 \left(3 x + 1\right)}{x + 2} - \frac{6 \left(3 x - 4\right)}{x - 3} + \frac{6 \left(3 x + 1\right)}{x - 3}\right) - 288 - \frac{6 \left(3 x + 1\right) \left(9 \left(x - 3\right) \left(x + 2\right) + \left(2 x - 1\right) \left(9 x - 7\right)\right)}{\left(x - 3\right) \left(x + 2\right)}}{27 \sqrt[3]{x + 2} \left|{x - 3}\right|^{\frac{2}{3}}}

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Tercera derivada [src]

                /                                                                                                                                                                            /  1     2*sign(-3 + x)\               /  1     2*sign(-3 + x)\               /  1     2*sign(-3 + x)\                                                                                                       \                                                                                                                                                          
                |                                     /                                        2                           \                                                    6*(-4 + 3*x)*|----- + --------------|   3*(1 + 3*x)*|----- + --------------|   6*(1 + 3*x)*|----- + --------------|                                                                                                       |                                                                                                                                                          
                |  54     72*(-4 + 3*x)               |   2       6*DiracDelta(-3 + x)   5*sign (-3 + x)    2*sign(-3 + x) |   21*(1 + 3*x)   54*(1 + 3*x)    42*(-4 + 3*x)                  \2 + x      |-3 + x|   /               \2 + x      |-3 + x|   /               \2 + x      |-3 + x|   /     42*(1 + 3*x)     12*(-4 + 3*x)*sign(-3 + x)   6*(1 + 3*x)*sign(-3 + x)   12*(1 + 3*x)*sign(-3 + x)|                                                                                                                                                          
     (-7 + 9*x)*|------ - ------------- + 2*(1 + 3*x)*|-------- - -------------------- + --------------- + ----------------| + ------------ + ------------ - ---------------- - ------------------------------------- + ------------------------------------ + ------------------------------------ + ---------------- - -------------------------- + ------------------------ + -------------------------|                                                                           /          /  1     2*sign(-3 + x)\   6*(-4 + 3*x)   3*(1 + 3*x)   6*(1 + 3*x)\
                |-3 + x             2                 |       2         |-3 + x|                    2      (2 + x)*|-3 + x||            2              2     (-3 + x)*(2 + x)                   -3 + x                                 2 + x                                  -3 + x                  (-3 + x)*(2 + x)       (-3 + x)*|-3 + x|            (2 + x)*|-3 + x|           (-3 + x)*|-3 + x|    |                              ((-1 + 2*x)*(-7 + 9*x) + 9*(-3 + x)*(2 + x))*|(1 + 3*x)*|----- + --------------| - ------------ + ----------- + -----------|
                \           (-3 + x)                  \(2 + x)                              (-3 + x)                       /     (2 + x)       (-3 + x)                                                                                                                                                                                                                                                   /   2*(1 + 3*x)*(-16 + 27*x)                                                \          \2 + x      |-3 + x|   /      -3 + x         2 + x         -3 + x  /
18 - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------ + ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                       81                                                                                                                                                                                                        3*(-3 + x)*(2 + x)                                                           9*(-3 + x)*(2 + x)                                                     
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                        3 _______         2/3                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                        \/ 2 + x *|-3 + x|

\frac{- \frac{\left(9 x - 7\right) \left(2 \left(3 x + 1\right) \left(- \frac{6 \delta\left(x - 3\right)}{\left|{x - 3}\right|} + \frac{2 \operatorname{sign}{\left(x - 3 \right)}}{\left(x + 2\right) \left|{x - 3}\right|} + \frac{2}{\left(x + 2\right)^{2}} + \frac{5 \operatorname{sign}^{2}{\left(x - 3 \right)}}{\left(x - 3\right)^{2}}\right) + \frac{3 \left(3 x + 1\right) \left(\frac{2 \operatorname{sign}{\left(x - 3 \right)}}{\left|{x - 3}\right|} + \frac{1}{x + 2}\right)}{x + 2} + \frac{6 \left(3 x + 1\right) \operatorname{sign}{\left(x - 3 \right)}}{\left(x + 2\right) \left|{x - 3}\right|} + \frac{21 \left(3 x + 1\right)}{\left(x + 2\right)^{2}} - \frac{6 \left(3 x - 4\right) \left(\frac{2 \operatorname{sign}{\left(x - 3 \right)}}{\left|{x - 3}\right|} + \frac{1}{x + 2}\right)}{x - 3} - \frac{12 \left(3 x - 4\right) \operatorname{sign}{\left(x - 3 \right)}}{\left(x - 3\right) \left|{x - 3}\right|} + \frac{6 \left(3 x + 1\right) \left(\frac{2 \operatorname{sign}{\left(x - 3 \right)}}{\left|{x - 3}\right|} + \frac{1}{x + 2}\right)}{x - 3} + \frac{12 \left(3 x + 1\right) \operatorname{sign}{\left(x - 3 \right)}}{\left(x - 3\right) \left|{x - 3}\right|} + \frac{54}{x - 3} - \frac{42 \left(3 x - 4\right)}{\left(x - 3\right) \left(x + 2\right)} + \frac{42 \left(3 x + 1\right)}{\left(x - 3\right) \left(x + 2\right)} - \frac{72 \left(3 x - 4\right)}{\left(x - 3\right)^{2}} + \frac{54 \left(3 x + 1\right)}{\left(x - 3\right)^{2}}\right)}{81} + 18 - \frac{2 \left(3 x + 1\right) \left(27 x - 16\right)}{3 \left(x - 3\right) \left(x + 2\right)} + \frac{\left(9 \left(x - 3\right) \left(x + 2\right) + \left(2 x - 1\right) \left(9 x - 7\right)\right) \left(\left(3 x + 1\right) \left(\frac{2 \operatorname{sign}{\left(x - 3 \right)}}{\left|{x - 3}\right|} + \frac{1}{x + 2}\right) + \frac{3 \left(3 x + 1\right)}{x + 2} - \frac{6 \left(3 x - 4\right)}{x - 3} + \frac{6 \left(3 x + 1\right)}{x - 3}\right)}{9 \left(x - 3\right) \left(x + 2\right)}}{\sqrt[3]{x + 2} \left|{x - 3}\right|^{\frac{2}{3}}}

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Expresiones idénticas

Expresiones semejantes

Derivada de y=(x-3)(x+2)(9x-7)/(3*((x+2)·(x-3)^2)^1/3)

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