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Otras calculadoras
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- La ecuación:
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Ecuación x^3-x^2-x-1=0
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Ecuación 3x-2(3x+4)=10
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Ecuación 12-4(x-3)=39-9x
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Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
- 6*x+9*y=-9
- Derivada de:
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arctg(x)
- Integral de d{x}:
- arctg(x)
- Gráfico de la función y =:
- arctg(x)
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Expresiones idénticas
- arctg(x)=ln(y+ uno)
- arctg(x) es igual a ln(y más 1)
- arctg(x) es igual a ln(y más uno)
- arctgx=lny+1
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Expresiones semejantes
- y/x=arctg(xy)
- -arctg(0,2*x)-arctg(0,2*x)-arctgx=-pi
- (sh5x)^(arctg(x+2))
- arctg(x)=ln(y-1)
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Expresiones con funciones
- arctg
- arctg(x)-3x+2=0
- arctg(x^2+y^2-2x-3)=0
- arctg(x)=57
- arctg(7.4021x)+14x=2.62
- arctg(42x)+arctg(28x)+19x=2.62
- ln
- ln(x/0,34)=22282,49539
- ln(x)=-2*x+14
- ln|y|-y=ln|x|+x/2+C
- ln(2x^2+3)=0
- ln(2-cos(x))
arctg(x)=ln(y+1) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
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atan(x) = log(y + 1)
$$\operatorname{atan}{\left(x \right)} = \log{\left(y + 1 \right)}$$
Gráfica
Respuesta rápida
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sin(2*log(|1 + y|)) I*sinh(2*arg(1 + y))
x1 = ---------------------------------------- + ----------------------------------------
cos(2*log(|1 + y|)) + cosh(2*arg(1 + y)) cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))
$$x_{1} = \frac{\sin{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} + \frac{i \sinh{\left(2 \arg{\left(y + 1 \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}}$$
x1 = sin(2*log(|y + 1|))/(cos(2*log(|y + 1|)) + cosh(2*arg(y + 1))) + i*sinh(2*arg(y + 1))/(cos(2*log(|y + 1|)) + cosh(2*arg(y + 1)))
Suma y producto de raíces
[src]
suma
sin(2*log(|1 + y|)) I*sinh(2*arg(1 + y)) ---------------------------------------- + ---------------------------------------- cos(2*log(|1 + y|)) + cosh(2*arg(1 + y)) cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))
$$\frac{\sin{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} + \frac{i \sinh{\left(2 \arg{\left(y + 1 \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}}$$
=
sin(2*log(|1 + y|)) I*sinh(2*arg(1 + y)) ---------------------------------------- + ---------------------------------------- cos(2*log(|1 + y|)) + cosh(2*arg(1 + y)) cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))
$$\frac{\sin{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} + \frac{i \sinh{\left(2 \arg{\left(y + 1 \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}}$$
producto
sin(2*log(|1 + y|)) I*sinh(2*arg(1 + y)) ---------------------------------------- + ---------------------------------------- cos(2*log(|1 + y|)) + cosh(2*arg(1 + y)) cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))
$$\frac{\sin{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}} + \frac{i \sinh{\left(2 \arg{\left(y + 1 \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}}$$
=
I*sinh(2*arg(1 + y)) + sin(2*log(|1 + y|)) ------------------------------------------ cos(2*log(|1 + y|)) + cosh(2*arg(1 + y))
$$\frac{\sin{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + i \sinh{\left(2 \arg{\left(y + 1 \right)} \right)}}{\cos{\left(2 \log{\left(\left|{y + 1}\right| \right)} \right)} + \cosh{\left(2 \arg{\left(y + 1 \right)} \right)}}$$
(i*sinh(2*arg(1 + y)) + sin(2*log(|1 + y|)))/(cos(2*log(|1 + y|)) + cosh(2*arg(1 + y)))