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:
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Derivada de (x^3)/3
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Derivada de sqrt(x^2+1)
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Derivada de x^10
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Derivada de e^(4*x)
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Expresiones idénticas
- сth^ dos (x+ uno)*arccos1/x
- сth al cuadrado (x más 1) multiplicar por arc coseno de 1 dividir por x
- сth en el grado dos (x más uno) multiplicar por arc coseno de 1 dividir por x
- сth2(x+1)*arccos1/x
- сth2x+1*arccos1/x
- сth²(x+1)*arccos1/x
- сth en el grado 2(x+1)*arccos1/x
- сth^2(x+1)arccos1/x
- сth2(x+1)arccos1/x
- сth2x+1arccos1/x
- сth^2x+1arccos1/x
- сth^2(x+1)*arccos1 dividir por x
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Expresiones semejantes
- сth^2(x-1)*arccos1/x
Derivada de сth^2(x+1)*arccos1/x
Solución
Ha introducido
[src]
2
coth (x + 1)*acos(1)
--------------------
x
$$\frac{\coth^{2}{\left(x + 1 \right)} \operatorname{acos}{\left(1 \right)}}{x}$$
(coth(x + 1)^2*acos(1))/x
Primera derivada
[src]
2
coth (x + 1)*acos(1) 2*acos(1)*coth(x + 1)
- -------------------- - ---------------------
2 2
x x*sinh (x + 1)
$$- \frac{2 \coth{\left(x + 1 \right)} \operatorname{acos}{\left(1 \right)}}{x \sinh^{2}{\left(x + 1 \right)}} - \frac{\coth^{2}{\left(x + 1 \right)} \operatorname{acos}{\left(1 \right)}}{x^{2}}$$
Segunda derivada
[src]
/ 1 \
| 2 ----------- + 2*cosh(1 + x)*coth(1 + x) |
|coth (1 + x) sinh(1 + x) 2*coth(1 + x) |
2*|------------ + --------------------------------------- + --------------|*acos(1)
| 2 3 2 |
\ x sinh (1 + x) x*sinh (1 + x)/
-----------------------------------------------------------------------------------
x
$$\frac{2 \left(\frac{2 \cosh{\left(x + 1 \right)} \coth{\left(x + 1 \right)} + \frac{1}{\sinh{\left(x + 1 \right)}}}{\sinh^{3}{\left(x + 1 \right)}} + \frac{2 \coth{\left(x + 1 \right)}}{x \sinh^{2}{\left(x + 1 \right)}} + \frac{\coth^{2}{\left(x + 1 \right)}}{x^{2}}\right) \operatorname{acos}{\left(1 \right)}}{x}$$
3-я производная
[src]
/ / 2 \ \
| | 3*cosh(1 + x) 3*cosh (1 + x)*coth(1 + x)| |
|2*|-coth(1 + x) + ------------- + --------------------------| / 1 \ |
| | 3 2 | 2 3*|----------- + 2*cosh(1 + x)*coth(1 + x)| |
| \ sinh (1 + x) sinh (1 + x) / 3*coth (1 + x) \sinh(1 + x) / 6*coth(1 + x) |
-2*|------------------------------------------------------------- + -------------- + ------------------------------------------- + ---------------|*acos(1)
| 2 3 3 2 2 |
\ sinh (1 + x) x x*sinh (1 + x) x *sinh (1 + x)/
-----------------------------------------------------------------------------------------------------------------------------------------------------------
x
$$- \frac{2 \left(\frac{2 \left(- \coth{\left(x + 1 \right)} + \frac{3 \cosh^{2}{\left(x + 1 \right)} \coth{\left(x + 1 \right)}}{\sinh^{2}{\left(x + 1 \right)}} + \frac{3 \cosh{\left(x + 1 \right)}}{\sinh^{3}{\left(x + 1 \right)}}\right)}{\sinh^{2}{\left(x + 1 \right)}} + \frac{3 \left(2 \cosh{\left(x + 1 \right)} \coth{\left(x + 1 \right)} + \frac{1}{\sinh{\left(x + 1 \right)}}\right)}{x \sinh^{3}{\left(x + 1 \right)}} + \frac{6 \coth{\left(x + 1 \right)}}{x^{2} \sinh^{2}{\left(x + 1 \right)}} + \frac{3 \coth^{2}{\left(x + 1 \right)}}{x^{3}}\right) \operatorname{acos}{\left(1 \right)}}{x}$$
Tercera derivada
[src]
/ / 2 \ \
| | 3*cosh(1 + x) 3*cosh (1 + x)*coth(1 + x)| |
|2*|-coth(1 + x) + ------------- + --------------------------| / 1 \ |
| | 3 2 | 2 3*|----------- + 2*cosh(1 + x)*coth(1 + x)| |
| \ sinh (1 + x) sinh (1 + x) / 3*coth (1 + x) \sinh(1 + x) / 6*coth(1 + x) |
-2*|------------------------------------------------------------- + -------------- + ------------------------------------------- + ---------------|*acos(1)
| 2 3 3 2 2 |
\ sinh (1 + x) x x*sinh (1 + x) x *sinh (1 + x)/
-----------------------------------------------------------------------------------------------------------------------------------------------------------
x
$$- \frac{2 \left(\frac{2 \left(- \coth{\left(x + 1 \right)} + \frac{3 \cosh^{2}{\left(x + 1 \right)} \coth{\left(x + 1 \right)}}{\sinh^{2}{\left(x + 1 \right)}} + \frac{3 \cosh{\left(x + 1 \right)}}{\sinh^{3}{\left(x + 1 \right)}}\right)}{\sinh^{2}{\left(x + 1 \right)}} + \frac{3 \left(2 \cosh{\left(x + 1 \right)} \coth{\left(x + 1 \right)} + \frac{1}{\sinh{\left(x + 1 \right)}}\right)}{x \sinh^{3}{\left(x + 1 \right)}} + \frac{6 \coth{\left(x + 1 \right)}}{x^{2} \sinh^{2}{\left(x + 1 \right)}} + \frac{3 \coth^{2}{\left(x + 1 \right)}}{x^{3}}\right) \operatorname{acos}{\left(1 \right)}}{x}$$
Gráfico