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Otras calculadoras
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- La ecuación:
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Ecuación x/4+13=x+1
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Ecuación 0,2x+2,7=1,4-1,1x
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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación 2x-3(x+3)=-5
- Expresar {x} en función de y en la ecuación:
- -2*x+14*y=9
- -6*x-20*y=8
- 2*x-8*y=4
- -9*x-1*y=6
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Expresiones idénticas
- arctg(2x-y)-e^x
- arctg(2x menos y) menos e en el grado x
- arctg(2x-y)-ex
- arctg2x-y-ex
- arctg2x-y-e^x
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Expresiones semejantes
- arctg(2x+y)-e^x
- arctg(2x-y)+e^x
-
Expresiones con funciones
- arctg
- arctg(xy)
- arctg(x)-3x+2=0
- arctgx=1
- arctg(sqrt(x^2+y^2))
- Arctg3x/x
arctg(2x-y)-e^x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
x atan(2*x - y) - E = 0
$$- e^{x} + \operatorname{atan}{\left(2 x - y \right)} = 0$$
Gráfica
Respuesta rápida
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/ / re(x) \ \ / re(x)\
| sinh\2*e *sin(im(x))/ | sin\2*cos(im(x))*e /
y1 = 2*re(x) + I*|2*im(x) - ----------------------------------------------------| - ----------------------------------------------------
| / re(x)\ / re(x) \| / re(x)\ / re(x) \
\ cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))// cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))/
$$y_{1} = i \left(2 \operatorname{im}{\left(x\right)} - \frac{\sinh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}\right) + 2 \operatorname{re}{\left(x\right)} - \frac{\sin{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}$$
y1 = i*(2*im(x) - sinh(2*exp(re(x))*sin(im(x)))/(cos(2*exp(re(x))*cos(im(x))) + cosh(2*exp(re(x))*sin(im(x))))) + 2*re(x) - sin(2*exp(re(x))*cos(im(x)))/(cos(2*exp(re(x))*cos(im(x))) + cosh(2*exp(re(x))*sin(im(x))))
Suma y producto de raíces
[src]
suma
/ / re(x) \ \ / re(x)\
| sinh\2*e *sin(im(x))/ | sin\2*cos(im(x))*e /
2*re(x) + I*|2*im(x) - ----------------------------------------------------| - ----------------------------------------------------
| / re(x)\ / re(x) \| / re(x)\ / re(x) \
\ cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))// cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))/
$$i \left(2 \operatorname{im}{\left(x\right)} - \frac{\sinh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}\right) + 2 \operatorname{re}{\left(x\right)} - \frac{\sin{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}$$
=
/ / re(x) \ \ / re(x)\
| sinh\2*e *sin(im(x))/ | sin\2*cos(im(x))*e /
2*re(x) + I*|2*im(x) - ----------------------------------------------------| - ----------------------------------------------------
| / re(x)\ / re(x) \| / re(x)\ / re(x) \
\ cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))// cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))/
$$i \left(2 \operatorname{im}{\left(x\right)} - \frac{\sinh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}\right) + 2 \operatorname{re}{\left(x\right)} - \frac{\sin{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}$$
producto
/ / re(x) \ \ / re(x)\
| sinh\2*e *sin(im(x))/ | sin\2*cos(im(x))*e /
2*re(x) + I*|2*im(x) - ----------------------------------------------------| - ----------------------------------------------------
| / re(x)\ / re(x) \| / re(x)\ / re(x) \
\ cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))// cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))/
$$i \left(2 \operatorname{im}{\left(x\right)} - \frac{\sinh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}\right) + 2 \operatorname{re}{\left(x\right)} - \frac{\sin{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}$$
=
/ re(x)\ / / re(x) \ / / re(x)\ / re(x) \\ \ / / re(x)\ / re(x) \\
- sin\2*cos(im(x))*e / + I*\- sinh\2*e *sin(im(x))/ + 2*\cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))//*im(x)/ + 2*\cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))//*re(x)
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ re(x)\ / re(x) \
cos\2*cos(im(x))*e / + cosh\2*e *sin(im(x))/
$$\frac{i \left(2 \left(\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}\right) \operatorname{im}{\left(x\right)} - \sinh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}\right) + 2 \left(\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}\right) \operatorname{re}{\left(x\right)} - \sin{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{\cos{\left(2 e^{\operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(x\right)} \right)} \right)} + \cosh{\left(2 e^{\operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}$$
(-sin(2*cos(im(x))*exp(re(x))) + i*(-sinh(2*exp(re(x))*sin(im(x))) + 2*(cos(2*cos(im(x))*exp(re(x))) + cosh(2*exp(re(x))*sin(im(x))))*im(x)) + 2*(cos(2*cos(im(x))*exp(re(x))) + cosh(2*exp(re(x))*sin(im(x))))*re(x))/(cos(2*cos(im(x))*exp(re(x))) + cosh(2*exp(re(x))*sin(im(x))))