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La ecuación:
Ecuación 3*x^2-x+2=0
Ecuación x^2=-74
Ecuación z^2+z+1=0
Ecuación 90+x-4*10=60
Expresar {x} en función de y en la ecuación:
9*x+14*y=-10
-4*x-8*y=-20
-12*x-10*y=-16
10*x-15*y=16
Expresiones idénticas
log(y^ tres + cinco)/ tres =(c-log(x^ tres + cinco))/ tres
logaritmo de (y al cubo más 5) dividir por 3 es igual a (c menos logaritmo de (x al cubo más 5)) dividir por 3
logaritmo de (y en el grado tres más cinco) dividir por tres es igual a (c menos logaritmo de (x en el grado tres más cinco)) dividir por tres
log(y3+5)/3=(c-log(x3+5))/3
logy3+5/3=c-logx3+5/3
log(y³+5)/3=(c-log(x³+5))/3
log(y en el grado 3+5)/3=(c-log(x en el grado 3+5))/3
logy^3+5/3=c-logx^3+5/3
log(y^3+5) dividir por 3=(c-log(x^3+5)) dividir por 3
Expresiones semejantes
log(y^3+5)/3=(c+log(x^3+5))/3
log(y^3-5)/3=(c-log(x^3+5))/3
log(y^3+5)/3=(c-log(x^3-5))/3
Expresiones con funciones
Logaritmo log
log(2,4-x)+log(2,1-2x)=2log(2,3)
log(x+2)/log(3)=27
log(3)*27=x
log(4/(7-x))/log(x^2)=11
log3(2x^2+x)=log3(6)-log3(2)
Logaritmo log
log(2,4-x)+log(2,1-2x)=2log(2,3)
log(x+2)/log(3)=27
log(3)*27=x
log(4/(7-x))/log(x^2)=11
log3(2x^2+x)=log3(6)-log3(2)

log(y^3+5)/3=(c-log(x^3+5))/3 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   / 3    \          / 3    \
log\y  + 5/   c - log\x  + 5/
----------- = ---------------
     3               3

\frac{\log{\left(y^{3} + 5 \right)}}{3} = \frac{c - \log{\left(x^{3} + 5 \right)}}{3}

Simplificar

Gráfica

Respuesta rápida [src]

       /                                               /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\\                                                /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\
       |         __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   ||||          __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   |||
       |        /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------||||         /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------|||
       |       /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3||||        /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||
       |      /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //||       /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|
       |     /    |-5 + re|------||  + im |------| *sin|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *cos|----------------------------------||      /    |-5 + re|------||  + im |------| *cos|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *sin|----------------------------------|
       |  6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /|   6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /
       |  \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                         |   \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                         
x1 = I*|- --------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------
       \                                          2                                                                                      2                                           /                                           2                                                                                      2

x_{1} = i \left(- \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} + \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}\right) - \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} - \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}

       /                                               /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\\                                                /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\
       |         __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   ||||          __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   |||
       |        /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------||||         /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------|||
       |       /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3||||        /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||
       |      /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //||       /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|
       |     /    |-5 + re|------||  + im |------| *sin|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *cos|----------------------------------||      /    |-5 + re|------||  + im |------| *cos|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *sin|----------------------------------|
       |  6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /|   6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /
       |  \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                         |   \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                         
x2 = I*|- --------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------
       \                                          2                                                                                      2                                           /                                           2                                                                                      2

x_{2} = i \left(- \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} - \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}\right) + \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} - \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}

                                                  /     /  /   c  \         /   c  \\\                                                  /     /  /   c  \         /   c  \\\
            __________________________________    |     |  |  e   |         |  e   |||            __________________________________    |     |  |  e   |         |  e   |||
           /                  2                   |atan2|im|------|, -5 + re|------|||           /                  2                   |atan2|im|------|, -5 + re|------|||
          /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||          /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||
         /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|         /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|
x3 =    /    |-5 + re|------||  + im |------| *cos|----------------------------------| + I*   /    |-5 + re|------||  + im |------| *sin|----------------------------------|
     6 /     |       |     3||       |     3|     \                3                 /     6 /     |       |     3||       |     3|     \                3                 /
     \/      \       \5 + y //       \5 + y /                                              \/      \       \5 + y //       \5 + y /

x_{3} = i \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)} + \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}

x3 = i*((re(exp(c)/(y^3 + 5)) - 5)^2 + im(exp(c)/(y^3 + 5))^2)^(1/6)*sin(atan2(im(exp(c)/(y^3 + 5), re(exp(c)/(y^3 + 5)) - 5)/3) + ((re(exp(c)/(y^3 + 5)) - 5)^2 + im(exp(c)/(y^3 + 5))^2)^(1/6)*cos(atan2(im(exp(c)/(y^3 + 5)), re(exp(c)/(y^3 + 5)) - 5)/3))

Suma y producto de raíces [src]

suma

  /                                               /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\\                                                /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\     /                                               /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\\                                                /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\                                                                                                                                                                          
  |         __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   ||||          __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   |||     |         __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   ||||          __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   |||                                                                                                                                                                          
  |        /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------||||         /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------|||     |        /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------||||         /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------|||                                                                                                                                                                          
  |       /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3||||        /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||     |       /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3||||        /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||                                                /     /  /   c  \         /   c  \\\                                                  /     /  /   c  \         /   c  \\\
  |      /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //||       /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     |      /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //||       /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|          __________________________________    |     |  |  e   |         |  e   |||            __________________________________    |     |  |  e   |         |  e   |||
  |     /    |-5 + re|------||  + im |------| *sin|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *cos|----------------------------------||      /    |-5 + re|------||  + im |------| *cos|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *sin|----------------------------------|     |     /    |-5 + re|------||  + im |------| *sin|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *cos|----------------------------------||      /    |-5 + re|------||  + im |------| *cos|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *sin|----------------------------------|         /                  2                   |atan2|im|------|, -5 + re|------|||           /                  2                   |atan2|im|------|, -5 + re|------|||
  |  6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /|   6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /     |  6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /|   6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /        /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||          /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||
  |  \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                         |   \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                              |  \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                         |   \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                                /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|         /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|
I*|- --------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------- + I*|- --------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------- +    /    |-5 + re|------||  + im |------| *cos|----------------------------------| + I*   /    |-5 + re|------||  + im |------| *sin|----------------------------------|
  \                                          2                                                                                      2                                           /                                           2                                                                                      2                                                \                                          2                                                                                      2                                           /                                           2                                                                                      2                                              6 /     |       |     3||       |     3|     \                3                 /     6 /     |       |     3||       |     3|     \                3                 /
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \/      \       \5 + y //       \5 + y /                                              \/      \       \5 + y //       \5 + y /

\left(i \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)} + \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}\right) + \left(\left(i \left(- \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} - \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}\right) + \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} - \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}\right) + \left(i \left(- \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} + \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}\right) - \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} - \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}\right)\right)

  /                                               /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\\     /                                               /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\\                                                                                      
  |         __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   ||||     |         __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   ||||                                                                                      
  |        /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------||||     |        /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------||||                                                                                      
  |       /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3||||     |       /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3||||                                                  /     /  /   c  \         /   c  \\\
  |      /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //||     |      /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //||            __________________________________    |     |  |  e   |         |  e   |||
  |     /    |-5 + re|------||  + im |------| *sin|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *cos|----------------------------------||     |     /    |-5 + re|------||  + im |------| *sin|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *cos|----------------------------------||           /                  2                   |atan2|im|------|, -5 + re|------|||
  |  6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /|     |  6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /|          /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||
  |  \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                         |     |  \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                         |         /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|
I*|- --------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------| + I*|- --------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------| + I*   /    |-5 + re|------||  + im |------| *sin|----------------------------------|
  \                                          2                                                                                      2                                           /     \                                          2                                                                                      2                                           /     6 /     |       |     3||       |     3|     \                3                 /
                                                                                                                                                                                                                                                                                                                                                                          \/      \       \5 + y //       \5 + y /

i \left(- \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} - \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}\right) + i \left(- \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} + \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}\right) + i \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}

producto

/  /                                               /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\\                                                /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\\ /  /                                               /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\\                                                /     /  /   c  \         /   c  \\\                                                      /     /  /   c  \         /   c  \\\\                                                                                                                                                                          
|  |         __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   ||||          __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   |||| |  |         __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   ||||          __________________________________    |     |  |  e   |         |  e   |||                __________________________________    |     |  |  e   |         |  e   ||||                                                                                                                                                                          
|  |        /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------||||         /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------|||| |  |        /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------||||         /                  2                   |atan2|im|------|, -5 + re|------|||               /                  2                   |atan2|im|------|, -5 + re|------||||                                                                                                                                                                          
|  |       /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3||||        /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||| |  |       /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3||||        /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||              /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||| /                                             /     /  /   c  \         /   c  \\\                                                  /     /  /   c  \         /   c  \\\\
|  |      /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //||       /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|| |  |      /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //||       /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|     ___     /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|| |       __________________________________    |     |  |  e   |         |  e   |||            __________________________________    |     |  |  e   |         |  e   ||||
|  |     /    |-5 + re|------||  + im |------| *sin|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *cos|----------------------------------||      /    |-5 + re|------||  + im |------| *cos|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *sin|----------------------------------|| |  |     /    |-5 + re|------||  + im |------| *sin|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *cos|----------------------------------||      /    |-5 + re|------||  + im |------| *cos|----------------------------------|   \/ 3 *   /    |-5 + re|------||  + im |------| *sin|----------------------------------|| |      /                  2                   |atan2|im|------|, -5 + re|------|||           /                  2                   |atan2|im|------|, -5 + re|------||||
|  |  6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /|   6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /| |  |  6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /|   6 /     |       |     3||       |     3|     \                3                 /         6 /     |       |     3||       |     3|     \                3                 /| |     /  /       /   c  \\       /   c  \     |     |  |     3|         |     3|||          /  /       /   c  \\       /   c  \     |     |  |     3|         |     3||||
|  |  \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                         |   \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                         | |  |  \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                         |   \/      \       \5 + y //       \5 + y /                                                  \/      \       \5 + y //       \5 + y /                                         | |    /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //|         /   |       |  e   ||      2|  e   |     |     \  \5 + y /         \5 + y //||
|I*|- --------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------|*|I*|- --------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------|*|   /    |-5 + re|------||  + im |------| *cos|----------------------------------| + I*   /    |-5 + re|------||  + im |------| *sin|----------------------------------||
\  \                                          2                                                                                      2                                           /                                           2                                                                                      2                                           / \  \                                          2                                                                                      2                                           /                                           2                                                                                      2                                           / |6 /     |       |     3||       |     3|     \                3                 /     6 /     |       |     3||       |     3|     \                3                 /|
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \\/      \       \5 + y //       \5 + y /                                              \/      \       \5 + y //       \5 + y /                                         /

\left(i \left(- \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} - \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}\right) + \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} - \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}\right) \left(i \left(- \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} + \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}\right) - \frac{\sqrt{3} \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2} - \frac{\sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{2}\right) \left(i \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)} + \sqrt[6]{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}\right)

                                                       /                                                                                                                                                                                      /                  /   c  \                     /     /  /   c  \         /   c  \\\\                                              \
                                                       |                                                                                                                                                                                      |                  |  e   |                     |     |  |  e   |         |  e   ||||                                              |
                                                       |                                                                                                                                                                                      |                im|------|                     |atan2|im|------|, -5 + re|------||||                                              |
                                                       |                                                                                                                                                                                      |                  |     3|                     |     |  |     3|         |     3||||                                              |
                                                       |                                                                                                                                                                                      |                  \5 + y /                     |     \  \5 + y /         \5 + y //||                                              |
                                                       |                                                                                                                                                                                  3*I*|----------------------------------------- + sin|----------------------------------||                                              |
                                                       |                                                                                              /     /  /   c  \         /   c  \\\                                                    |       __________________________________      \                3                 /|                                              |
                                                       |                                                                                              |     |  |  e   |         |  e   |||                                                    |      /                  2                                                         |                                              |
                                                       |    /     /  /   c  \         /   c  \\\                                                      |atan2|im|------|, -5 + re|------|||         /     /  /   c  \         /   c  \\\       |     /  /       /   c  \\       /   c  \                                           |                       /   c  \               |
                                                       |    |     |  |  e   |         |  e   |||                                                      |     |  |     3|         |     3|||         |     |  |  e   |         |  e   |||       |    /   |       |  e   ||      2|  e   |                                           |                       |  e   |               |
      ________________________________________________ |    |atan2|im|------|, -5 + re|------|||                                                      |     \  \5 + y /         \5 + y //|         |atan2|im|------|, -5 + re|------|||       |   /    |-5 + re|------||  + im |------|                                           |                   3*re|------|               |
     /         /   c  \      /   c  \        /   c  \  |    |     |  |     3|         |     3|||                                                 3*cos|----------------------------------|         |     |  |     3|         |     3|||       |  /     |       |     3||       |     3|                                           |                       |     3|               |
    /         2|  e   |     2|  e   |        |  e   |  |   3|     \  \5 + y /         \5 + y //|                        15                            \                3                 /        3|     \  \5 + y /         \5 + y //|       \\/      \       \5 + y //       \5 + y /                                           /                       \5 + y /               |
   /   25 + im |------| + re |------| - 10*re|------| *|cos |----------------------------------| - ------------------------------------------- - ----------------------------------------- - I*sin |----------------------------------| + ----------------------------------------------------------------------------------------- + -------------------------------------------|
  /            |     3|      |     3|        |     3|  |    \                3                 /            __________________________________                       4                             \                3                 /                                               4                                                        __________________________________|
\/             \5 + y /      \5 + y /        \5 + y /  |                                                   /                  2                                                                                                                                                                                                               /                  2               |
                                                       |                                                  /  /       /   c  \\       /   c  \                                                                                                                                                                                                /  /       /   c  \\       /   c  \ |
                                                       |                                                 /   |       |  e   ||      2|  e   |                                                                                                                                                                                               /   |       |  e   ||      2|  e   | |
                                                       |                                           4*   /    |-5 + re|------||  + im |------|                                                                                                                                                                                         4*   /    |-5 + re|------||  + im |------| |
                                                       |                                               /     |       |     3||       |     3|                                                                                                                                                                                             /     |       |     3||       |     3| |
                                                       \                                             \/      \       \5 + y //       \5 + y /                                                                                                                                                                                           \/      \       \5 + y //       \5 + y / /

\sqrt{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2} - 10 \operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2} + 25} \left(\frac{3 i \left(\sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)} + \frac{\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}}{\sqrt{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}}}\right)}{4} - i \sin^{3}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)} + \cos^{3}{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)} - \frac{3 \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)},\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5 \right)}}{3} \right)}}{4} + \frac{3 \operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)}}{4 \sqrt{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}}} - \frac{15}{4 \sqrt{\left(\operatorname{re}{\left(\frac{e^{c}}{y^{3} + 5}\right)} - 5\right)^{2} + \left(\operatorname{im}{\left(\frac{e^{c}}{y^{3} + 5}\right)}\right)^{2}}}\right)

sqrt(25 + im(exp(c)/(5 + y^3))^2 + re(exp(c)/(5 + y^3))^2 - 10*re(exp(c)/(5 + y^3)))*(cos(atan2(im(exp(c)/(5 + y^3)), -5 + re(exp(c)/(5 + y^3)))/3)^3 - 15/(4*sqrt((-5 + re(exp(c)/(5 + y^3)))^2 + im(exp(c)/(5 + y^3))^2)) - 3*cos(atan2(im(exp(c)/(5 + y^3)), -5 + re(exp(c)/(5 + y^3)))/3)/4 - i*sin(atan2(im(exp(c)/(5 + y^3)), -5 + re(exp(c)/(5 + y^3)))/3)^3 + 3*i*(im(exp(c)/(5 + y^3))/sqrt((-5 + re(exp(c)/(5 + y^3)))^2 + im(exp(c)/(5 + y^3))^2) + sin(atan2(im(exp(c)/(5 + y^3)), -5 + re(exp(c)/(5 + y^3)))/3))/4 + 3*re(exp(c)/(5 + y^3))/(4*sqrt((-5 + re(exp(c)/(5 + y^3)))^2 + im(exp(c)/(5 + y^3))^2)))

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log(y^3+5)/3=(c-log(x^3+5))/3 la ecuación

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