Sr Examen
Otras calculadoras
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¿Cómo usar?
- La ecuación:
-
Ecuación x^2+5x=36
-
Ecuación 3*x=8
-
Ecuación (x-87)-27=36
- Ecuación (x^2-16)^2+(x^2+x-20)^2=0
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
- 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
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Expresiones semejantes
- log(x^2-y^2)=2^y
-
Expresiones con funciones
- Logaritmo log
- log(5,x^(2*y))+log(e,(x+y)^5)=17
- log(x^2-x-3)=log(x)
- log(y)-3+4/y=0
- log2(2𝑥−3)=4
- log(x+1)((x-1)(x^2+x-8))=log(x-1)((x+1)^3)
log(x^2+y^2)=2^y la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
Respuesta rápida
[src]
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/ 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 /
$$x_{1} = - i \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} - \sqrt[4]{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(2^{y}\right)}} \sin{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(2^{y}\right)}} \cos{\left(\operatorname{im}{\left(2^{y}\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}$$
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/ 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
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/ 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
$$0$$
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)$$
=
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/ 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