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Derivada de:
Derivada de -17x^2
Derivada de x^-4/5
Derivada de x^2*5^x
Derivada de x/(1+e^x)
Expresiones idénticas
(x*(x+ dos))/(tres *(x+ uno)^ dos *(x+ uno)^(- uno)*absolute(x^(cuatro / tres)))
(x multiplicar por (x más 2)) dividir por (3 multiplicar por (x más 1) al cuadrado multiplicar por (x más 1) en el grado ( menos 1) multiplicar por absolute(x en el grado (4 dividir por 3)))
(x multiplicar por (x más dos)) dividir por (tres multiplicar por (x más uno) en el grado dos multiplicar por (x más uno) en el grado ( menos uno) multiplicar por absolute(x en el grado (cuatro dividir por tres)))
(x*(x+2))/(3*(x+1)2*(x+1)(-1)*absolute(x(4/3)))
x*x+2/3*x+12*x+1-1*absolutex4/3
(x*(x+2))/(3*(x+1)²*(x+1)^(-1)*absolute(x^(4/3)))
(x*(x+2))/(3*(x+1) en el grado 2*(x+1) en el grado (-1)*absolute(x en el grado (4/3)))
(x(x+2))/(3(x+1)^2(x+1)^(-1)absolute(x^(4/3)))
(x(x+2))/(3(x+1)2(x+1)(-1)absolute(x(4/3)))
xx+2/3x+12x+1-1absolutex4/3
xx+2/3x+1^2x+1^-1absolutex^4/3
(x*(x+2)) dividir por (3*(x+1)^2*(x+1)^(-1)*absolute(x^(4 dividir por 3)))
Expresiones semejantes
(x*(x+2))/(3*(x-1)^2*(x+1)^(-1)*absolute(x^(4/3)))
(x*(x-2))/(3*(x+1)^2*(x+1)^(-1)*absolute(x^(4/3)))
(x*(x+2))/(3*(x+1)^2*(x+1)^(1)*absolute(x^(4/3)))
(x*(x+2))/(3*(x+1)^2*(x-1)^(-1)*absolute(x^(4/3)))

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

Derivada de (x(x+2))/(3(x+1)^2(x+1)^(-1)absolute(x^(4/3)))

Solución

Ha introducido [src]

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

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

(x*(x + 2))/((((3*(x + 1)^2)/(x + 1))*Abs(x^(4/3))))

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

                                       /                                    /           5/3                                          5/3                            \           \
                                       |                                    |  /   x   \       2/4*atan2(0, x)\             /   x   \       2/4*atan2(0, x)\        |           |
                                       |                                    |4*|-------|   *cos |-------------|*sign(x)   4*|-------|   *sin |-------------|*sign(x)|           |
                                       |                                    |  \sign(x)/        \      3      /             \sign(x)/        \      3      /        |     / 4/3\|
                                       |                          3*(x + 1)*|------------------------------------------ + ------------------------------------------|*sign\x   /|
                                       |  /     6 + 6*x\ | 4/3|             \                    3                                            3                     /           |
                             x*(x + 2)*|- |-3 + -------|*|x   | - --------------------------------------------------------------------------------------------------------------|
                                       |  \      x + 1 /                                                                4/3                                                     |
       1                               \                                                                               x                                                        /
----------------*(2 + 2*x) + ----------------------------------------------------------------------------------------------------------------------------------------------------
          | 4/3|                                                                                               2                                                                 
3*(x + 1)*|x   |                                                                                       2 | 4/3|                                                                  
                                                                                              9*(x + 1) *|x   |

\frac{x \left(x + 2\right) \left(- \left(-3 + \frac{6 x + 6}{x + 1}\right) \left|{x^{\frac{4}{3}}}\right| - \frac{3 \left(x + 1\right) \left(\frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} \operatorname{sign}{\left(x \right)}}{3} + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} \operatorname{sign}{\left(x \right)}}{3}\right) \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}}}\right)}{9 \left(x + 1\right)^{2} \left|{x^{\frac{4}{3}}}\right|^{2}} + \frac{1}{3 \left(x + 1\right) \left|{x^{\frac{4}{3}}}\right|} \left(2 x + 2\right)

Simplificar

Segunda derivada [src]

                                                                                                                       /                                                                                                                                                                                               /                      5/3                                                                       \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               /                      5/3                                                                       \                   \
                                                                                                                       |                                                                                                                                                                                               |             /   x   \            /   2/4*atan2(0, x)\      2/4*atan2(0, x)\\             / 4/3\|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               |             /   x   \            /   2/4*atan2(0, x)\      2/4*atan2(0, x)\\             / 4/3\|                   |
                                                                                                                       |                                                                                                                                                                                               |           4*|-------|   *(1 + x)*|cos |-------------| + sin |-------------||*sign(x)*sign\x   /|                  /        /                                                                                 2/4*atan2(0, x)\ /     2*x*DiracDelta(x)\                2/4*atan2(0, x)\ /     2*x*DiracDelta(x)\        \                                                                                                                                                                          /   2/4*atan2(0, x)\      2/4*atan2(0, x)\\             / 4/3\\              5/3                                             |           4*|-------|   *(1 + x)*|cos |-------------| + sin |-------------||*sign(x)*sign\x   /|                   |
        /                      5/3                                                                       \             |/                   5/3                                                               \ /                      5/3                                                                       \     |  | 4/3|     \sign(x)/            \    \      3      /       \      3      //                   |              5/3 |        |                                                                            5*cos |-------------|*|-1 + -----------------|*sign(x)   5*sin |-------------|*|-1 + -----------------|*sign(x)|                                                                                                                                                                4*(1 + x)*|cos |-------------| + sin |-------------||*sign(x)*sign\x   /|     /   x   \    /   2/4*atan2(0, x)\      2/4*atan2(0, x)\\ |  | 4/3|     \sign(x)/            \    \      3      /       \      3      //                   |             / 4/3\|
        |             /   x   \            /   2/4*atan2(0, x)\      2/4*atan2(0, x)\\             / 4/3\|             ||          /   x   \    /   2/4*atan2(0, x)\      2/4*atan2(0, x)\\             / 4/3\| |             /   x   \            /   2/4*atan2(0, x)\      2/4*atan2(0, x)\\             / 4/3\|   3*|3*|x   | + -------------------------------------------------------------------------------------|     /   x   \    |        |     2/4*atan2(0, x)\                      2/4*atan2(0, x)\                       \      3      / \          sign(x)     /                 \      3      / \          sign(x)     /        |     / 4/3\     /   2/4*atan2(0, x)\      2/4*atan2(0, x)\\             / 4/3\             /   2/4*atan2(0, x)\      2/4*atan2(0, x)\\ d /    / 4/3\\                     \    \      3      /       \      3      //                   |   4*|-------|   *|cos |-------------| + sin |-------------||*|3*|x   | + -------------------------------------------------------------------------------------|*sign(x)*sign\x   /|
        |           4*|-------|   *(1 + x)*|cos |-------------| + sin |-------------||*sign(x)*sign\x   /|             ||        4*|-------|   *|cos |-------------| + sin |-------------||*sign(x)*sign\x   /| |           4*|-------|   *(1 + x)*|cos |-------------| + sin |-------------||*sign(x)*sign\x   /|     |                                                     4/3                                        |   4*|-------|   *|(1 + x)*|6*cos |-------------|*DiracDelta(x) + 6*sin |-------------|*DiracDelta(x) - ------------------------------------------------------ - ------------------------------------------------------|*sign\x   / + 6*|cos |-------------| + sin |-------------||*sign(x)*sign\x   / + 3*(1 + x)*|cos |-------------| + sin |-------------||*--\sign\x   //*sign(x) - ------------------------------------------------------------------------|     \sign(x)/    \    \      3      /       \      3      // |                                                     4/3                                        |                   |
        |  | 4/3|     \sign(x)/            \    \      3      /       \      3      //                   |             ||  3       \sign(x)/    \    \      3      /       \      3      //                   | |  | 4/3|     \sign(x)/            \    \      3      /       \      3      //                   |     \                                                    x                                           /     \sign(x)/    \        \      \      3      /                       \      3      /                                           x                                                        x                           /                \    \      3      /       \      3      //                                \    \      3      /       \      3      // dx                                                          x                                    /                                                              \                                                    x                                           /                   |
     12*|3*|x   | + -------------------------------------------------------------------------------------|   x*(2 + x)*||----- + -----------------------------------------------------------------------------|*|3*|x   | + -------------------------------------------------------------------------------------| + ---------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
        |                                                     4/3                                        |             ||1 + x                                     4/3 | 4/3|                                 | |                                                     4/3                                        |                                                  1 + x                                                                                                                                                                                                                                                                                 4/3                                                                                                                                                                                                                                                                                                                   4/3 | 4/3|                                                                                   |
        \                                                    x                                           /             \\                                         x   *|x   |                                 / \                                                    x                                           /                                                                                                                                                                                                                                                                                                                                       x                                                                                                                                                                                                                                                                                                                     x   *|x   |                                                                                   /
18 - ----------------------------------------------------------------------------------------------------- + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                     | 4/3|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    | 4/3|                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
                                                     |x   |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            (1 + x)*|x   |                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         | 4/3|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              27*(1 + x)*|x   |

\frac{\frac{x \left(x + 2\right) \left(\left(\frac{3}{x + 1} + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}} \left|{x^{\frac{4}{3}}}\right|}\right) \left(3 \left|{x^{\frac{4}{3}}}\right| + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(x + 1\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}}}\right) + \frac{3 \left(3 \left|{x^{\frac{4}{3}}}\right| + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(x + 1\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}}}\right)}{x + 1} + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \left(3 \left|{x^{\frac{4}{3}}}\right| + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(x + 1\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}}}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}} \left|{x^{\frac{4}{3}}}\right|} - \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(3 \left(x + 1\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \frac{d}{d x} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)} + \left(x + 1\right) \left(6 \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} \delta\left(x\right) + 6 \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} \delta\left(x\right) - \frac{5 \left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} \operatorname{sign}{\left(x \right)}}{x} - \frac{5 \left(\frac{2 x \delta\left(x\right)}{\operatorname{sign}{\left(x \right)}} - 1\right) \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} \operatorname{sign}{\left(x \right)}}{x}\right) \operatorname{sign}{\left(x^{\frac{4}{3}} \right)} + 6 \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)} - \frac{4 \left(x + 1\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x}\right)}{x^{\frac{4}{3}}}\right)}{\left(x + 1\right) \left|{x^{\frac{4}{3}}}\right|} - \frac{12 \left(3 \left|{x^{\frac{4}{3}}}\right| + \frac{4 \left(\frac{x}{\operatorname{sign}{\left(x \right)}}\right)^{\frac{5}{3}} \left(x + 1\right) \left(\sin^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)} + \cos^{2}{\left(\frac{4 \operatorname{atan_{2}}{\left(0,x \right)}}{3} \right)}\right) \operatorname{sign}{\left(x \right)} \operatorname{sign}{\left(x^{\frac{4}{3}} \right)}}{x^{\frac{4}{3}}}\right)}{\left|{x^{\frac{4}{3}}}\right|} + 18}{27 \left(x + 1\right) \left|{x^{\frac{4}{3}}}\right|}

Simplificar

Gráfico

Derivada de (x*(x+2))/(3*(x+1)^2*(x+1)^(-1)*absolute(x^(4/3)))

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Derivada de (x(x+2))/(3(x+1)^2(x+1)^(-1)absolute(x^(4/3)))

Gráfico:

Definida a trozos:

Solución

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Derivada de (x*(x+2))/(3*(x+1)^2*(x+1)^(-1)*absolute(x^(4/3)))

Gráfico:

Definida a trozos:

Solución

Derivada de (x(x+2))/(3(x+1)^2(x+1)^(-1)absolute(x^(4/3)))