Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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¿Cómo usar?
- Derivada de:
-
Derivada de x^(4/5)
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Derivada de x*e^(1/x)
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Derivada de sin(2*x+3)
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Derivada de e^y
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Expresiones idénticas
- (x-sh(3x))/(uno -ch(2x))
- (x menos sh(3x)) dividir por (1 menos ch(2x))
- (x menos sh(3x)) dividir por (uno menos ch(2x))
- x-sh3x/1-ch2x
- (x-sh(3x)) dividir por (1-ch(2x))
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Expresiones semejantes
- (x-sh(3x))/(1+ch(2x))
- (x+sh(3x))/(1-ch(2x))
Derivada de (x-sh(3x))/(1-ch(2x))
Solución
Ha introducido
[src]
x - sinh(3*x) ------------- 1 - cosh(2*x)
$$\frac{x - \sinh{\left(3 x \right)}}{1 - \cosh{\left(2 x \right)}}$$
(x - sinh(3*x))/(1 - cosh(2*x))
Primera derivada
[src]
1 - 3*cosh(3*x) 2*(x - sinh(3*x))*sinh(2*x)
--------------- + ---------------------------
1 - cosh(2*x) 2
(1 - cosh(2*x))
$$\frac{1 - 3 \cosh{\left(3 x \right)}}{1 - \cosh{\left(2 x \right)}} + \frac{2 \left(x - \sinh{\left(3 x \right)}\right) \sinh{\left(2 x \right)}}{\left(1 - \cosh{\left(2 x \right)}\right)^{2}}$$
Segunda derivada
[src]
/ 2 \
| 2*sinh (2*x) |
4*(x - sinh(3*x))*|- -------------- + cosh(2*x)|
4*(-1 + 3*cosh(3*x))*sinh(2*x) \ -1 + cosh(2*x) /
9*sinh(3*x) - ------------------------------ + ------------------------------------------------
-1 + cosh(2*x) -1 + cosh(2*x)
-----------------------------------------------------------------------------------------------
-1 + cosh(2*x)
$$\frac{\frac{4 \left(x - \sinh{\left(3 x \right)}\right) \left(\cosh{\left(2 x \right)} - \frac{2 \sinh^{2}{\left(2 x \right)}}{\cosh{\left(2 x \right)} - 1}\right)}{\cosh{\left(2 x \right)} - 1} + 9 \sinh{\left(3 x \right)} - \frac{4 \left(3 \cosh{\left(3 x \right)} - 1\right) \sinh{\left(2 x \right)}}{\cosh{\left(2 x \right)} - 1}}{\cosh{\left(2 x \right)} - 1}$$
Tercera derivada
[src]
/ 2 \
/ 2 \ | 6*cosh(2*x) 6*sinh (2*x) |
| 2*sinh (2*x) | 8*(x - sinh(3*x))*|1 - -------------- + -----------------|*sinh(2*x)
12*(-1 + 3*cosh(3*x))*|- -------------- + cosh(2*x)| | -1 + cosh(2*x) 2|
54*sinh(2*x)*sinh(3*x) \ -1 + cosh(2*x) / \ (-1 + cosh(2*x)) /
27*cosh(3*x) - ---------------------- - ---------------------------------------------------- + --------------------------------------------------------------------
-1 + cosh(2*x) -1 + cosh(2*x) -1 + cosh(2*x)
-------------------------------------------------------------------------------------------------------------------------------------------------------------------
-1 + cosh(2*x)
$$\frac{\frac{8 \left(x - \sinh{\left(3 x \right)}\right) \left(1 - \frac{6 \cosh{\left(2 x \right)}}{\cosh{\left(2 x \right)} - 1} + \frac{6 \sinh^{2}{\left(2 x \right)}}{\left(\cosh{\left(2 x \right)} - 1\right)^{2}}\right) \sinh{\left(2 x \right)}}{\cosh{\left(2 x \right)} - 1} + 27 \cosh{\left(3 x \right)} - \frac{12 \left(\cosh{\left(2 x \right)} - \frac{2 \sinh^{2}{\left(2 x \right)}}{\cosh{\left(2 x \right)} - 1}\right) \left(3 \cosh{\left(3 x \right)} - 1\right)}{\cosh{\left(2 x \right)} - 1} - \frac{54 \sinh{\left(2 x \right)} \sinh{\left(3 x \right)}}{\cosh{\left(2 x \right)} - 1}}{\cosh{\left(2 x \right)} - 1}$$
Gráfico