Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
La ecuación:
Ecuación (3x−36)⋅(x+8)=0
Ecuación x+y-4=0
Ecuación 4-x/7=x/9
Ecuación z^4=1
Expresar {x} en función de y en la ecuación:
4*x-1*y=-3
9*x+17*y=13
-2*x-19*y=3
6*x+17*y=-11
Límite de la función:
log(x^2+y^2)
Expresiones idénticas
log(x^ dos +y^ dos)= dos ^y
logaritmo de (x al cuadrado más y al cuadrado ) es igual a 2 en el grado y
logaritmo de (x en el grado dos más y en el grado dos) es igual a dos en el grado y
log(x2+y2)=2y
logx2+y2=2y
log(x²+y²)=2^y
log(x en el grado 2+y en el grado 2)=2 en el grado y
logx^2+y^2=2^y
Expresiones semejantes
log(x^2-y^2)=2^y
Expresiones con funciones
Logaritmo log
log(a^2*b^3)=0
log(1/2)*x=2*x+5
log(x)/log(4)=16
log(1)-x*(3)-log(1)-x*(2)=1/2
logo+1(x+3)=2

log(x^2+y^2)=2^y la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   / 2    2\    y
log\x  + y / = 2

\log{\left(x^{2} + y^{2} \right)} = 2^{y}

Simplificar

Gráfica

Respuesta rápida [src]

            ___________________________________________________________________________________                                                                                                 ___________________________________________________________________________________                                                                                       
           /                                      2                                          2     /     /   / y\                                                               / y\\\         /                                      2                                          2     /     /   / y\                                                               / y\\\
          /  /   / y\                            \    /                                 / y\\      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||        /  /   / y\                            \    /                                 / y\\      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||
       4 /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|     4 /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|
x1 = - \/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *cos|---------------------------------------------------------------------------------| - I*\/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *sin|---------------------------------------------------------------------------------|
                                                                                                   \                                        2                                        /                                                                                                 \                                        2                                        /

x_{1} = - i \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} - \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}

          ___________________________________________________________________________________                                                                                                 ___________________________________________________________________________________                                                                                       
         /                                      2                                          2     /     /   / y\                                                               / y\\\         /                                      2                                          2     /     /   / y\                                                               / y\\\
        /  /   / y\                            \    /                                 / y\\      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||        /  /   / y\                            \    /                                 / y\\      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||
     4 /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|     4 /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|
x2 = \/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *cos|---------------------------------------------------------------------------------| + I*\/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *sin|---------------------------------------------------------------------------------|
                                                                                                 \                                        2                                        /                                                                                                 \                                        2                                        /

x_{2} = i \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} + \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}

x2 = i*((exp(re(2^y))*sin(im(2^y)) - 2*re(y)*im(y))^2 + (exp(re(2^y))*cos(im(2^y)) - re(y)^2 + im(y)^2)^2)^(1/4)*sin(atan2(exp(re(2^y))*sin(im(2^y)) - 2*re(y)*im(y, exp(re(2^y))*cos(im(2^y)) - re(y)^2 + im(y)^2)/2) + ((exp(re(2^y))*sin(im(2^y)) - 2*re(y)*im(y))^2 + (exp(re(2^y))*cos(im(2^y)) - re(y)^2 + im(y)^2)^2)^(1/4)*cos(atan2(exp(re(2^y))*sin(im(2^y)) - 2*re(y)*im(y), exp(re(2^y))*cos(im(2^y)) - re(y)^2 + im(y)^2)/2))

Suma y producto de raíces [src]

suma

       ___________________________________________________________________________________                                                                                                 ___________________________________________________________________________________                                                                                               ___________________________________________________________________________________                                                                                                 ___________________________________________________________________________________                                                                                       
      /                                      2                                          2     /     /   / y\                                                               / y\\\         /                                      2                                          2     /     /   / y\                                                               / y\\\       /                                      2                                          2     /     /   / y\                                                               / y\\\         /                                      2                                          2     /     /   / y\                                                               / y\\\
     /  /   / y\                            \    /                                 / y\\      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||        /  /   / y\                            \    /                                 / y\\      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||      /  /   / y\                            \    /                                 / y\\      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||        /  /   / y\                            \    /                                 / y\\      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||
  4 /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|     4 /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|   4 /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|     4 /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|
- \/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *cos|---------------------------------------------------------------------------------| - I*\/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *sin|---------------------------------------------------------------------------------| + \/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *cos|---------------------------------------------------------------------------------| + I*\/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *sin|---------------------------------------------------------------------------------|
                                                                                              \                                        2                                        /                                                                                                 \                                        2                                        /                                                                                               \                                        2                                        /                                                                                                 \                                        2                                        /

\left(- i \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} - \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} + \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}\right)

0

producto

/       ___________________________________________________________________________________                                                                                                 ___________________________________________________________________________________                                                                                       \ /     ___________________________________________________________________________________                                                                                                 ___________________________________________________________________________________                                                                                       \
|      /                                      2                                          2     /     /   / y\                                                               / y\\\         /                                      2                                          2     /     /   / y\                                                               / y\\\| |    /                                      2                                          2     /     /   / y\                                                               / y\\\         /                                      2                                          2     /     /   / y\                                                               / y\\\|
|     /  /   / y\                            \    /                                 / y\\      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||        /  /   / y\                            \    /                                 / y\\      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||| |   /  /   / y\                            \    /                                 / y\\      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||        /  /   / y\                            \    /                                 / y\\      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /|||
|  4 /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|     4 /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|| |4 /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|     4 /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /||
|- \/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *cos|---------------------------------------------------------------------------------| - I*\/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *sin|---------------------------------------------------------------------------------||*|\/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *cos|---------------------------------------------------------------------------------| + I*\/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *sin|---------------------------------------------------------------------------------||
\                                                                                              \                                        2                                        /                                                                                                 \                                        2                                        // \                                                                                            \                                        2                                        /                                                                                                 \                                        2                                        //

\left(- i \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} - \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} + \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}\right)

      ___________________________________________________________________________________                                                                                                                                                                                    2
     /                                      2                                          2  /     /     /   / y\                                                               / y\\\      /     /   / y\                                                               / y\\\\ 
    /  /   / y\                            \    /                                 / y\\   |     |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||      |     | re\2 /    /  / y\\                    2        2         /  / y\\  re\2 /||| 
   /   | re\2 /    /  / y\\                |    |  2        2         /  / y\\  re\2 /|   |     |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|      |atan2\e      *sin\im\2 // - 2*im(y)*re(y), im (y) - re (y) + cos\im\2 //*e      /|| 
-\/    \e      *sin\im\2 // - 2*im(y)*re(y)/  + \im (y) - re (y) + cos\im\2 //*e      /  *|I*sin|---------------------------------------------------------------------------------| + cos|---------------------------------------------------------------------------------|| 
                                                                                          \     \                                        2                                        /      \                                        2                                        //

- \left(i \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} + \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}\right)^{2} \sqrt{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}}

-sqrt((exp(re(2^y))*sin(im(2^y)) - 2*im(y)*re(y))^2 + (im(y)^2 - re(y)^2 + cos(im(2^y))*exp(re(2^y)))^2)*(i*sin(atan2(exp(re(2^y))*sin(im(2^y)) - 2*im(y)*re(y), im(y)^2 - re(y)^2 + cos(im(2^y))*exp(re(2^y)))/2) + cos(atan2(exp(re(2^y))*sin(im(2^y)) - 2*im(y)*re(y), im(y)^2 - re(y)^2 + cos(im(2^y))*exp(re(2^y)))/2))^2

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

log(x^2+y^2)=2^y la ecuación

Solución numérica:

Solución