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 (-4)/x^2
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Derivada de 2/x²
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Derivada de -2*y
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Derivada de (3+2x)/(x-5)
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Expresiones idénticas
- y=th^ tres (dos x+2)/arcsin(5x)
- y es igual a th al cubo (2x más 2) dividir por arc seno de (5x)
- y es igual a th en el grado tres (dos x más 2) dividir por arc seno de (5x)
- y=th3(2x+2)/arcsin(5x)
- y=th32x+2/arcsin5x
- y=th³(2x+2)/arcsin(5x)
- y=th en el grado 3(2x+2)/arcsin(5x)
- y=th^32x+2/arcsin5x
- y=th^3(2x+2) dividir por arcsin(5x)
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Expresiones semejantes
- y=th^3(2x-2)/arcsin(5x)
Derivada de y=th^3(2x+2)/arcsin(5x)
Solución
Ha introducido
[src]
3 tanh (2*x + 2) -------------- asin(5*x)
$$\frac{\tanh^{3}{\left(2 x + 2 \right)}}{\operatorname{asin}{\left(5 x \right)}}$$
tanh(2*x + 2)^3/asin(5*x)
Primera derivada
[src]
2 / 2 \ 3
tanh (2*x + 2)*\6 - 6*tanh (2*x + 2)/ 5*tanh (2*x + 2)
------------------------------------- - -------------------------
asin(5*x) ___________
/ 2 2
\/ 1 - 25*x *asin (5*x)
$$\frac{\left(6 - 6 \tanh^{2}{\left(2 x + 2 \right)}\right) \tanh^{2}{\left(2 x + 2 \right)}}{\operatorname{asin}{\left(5 x \right)}} - \frac{5 \tanh^{3}{\left(2 x + 2 \right)}}{\sqrt{1 - 25 x^{2}} \operatorname{asin}^{2}{\left(5 x \right)}}$$
Segunda derivada
[src]
/ 2 / 2 5*x \ \
| 25*tanh (2*(1 + x))*|---------------------- + --------------| |
| |/ 2\ 3/2| |
| |\-1 + 25*x /*asin(5*x) / 2\ | / 2 \ |
| / 2 \ / 2 \ \ \1 - 25*x / / 60*\-1 + tanh (2*(1 + x))/*tanh(2*(1 + x))|
|24*\-1 + tanh (2*(1 + x))/*\-1 + 2*tanh (2*(1 + x))/ - ------------------------------------------------------------- + ------------------------------------------|*tanh(2*(1 + x))
| asin(5*x) ___________ |
| / 2 |
\ \/ 1 - 25*x *asin(5*x) /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
asin(5*x)
$$\frac{\left(- \frac{25 \left(\frac{5 x}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(25 x^{2} - 1\right) \operatorname{asin}{\left(5 x \right)}}\right) \tanh^{2}{\left(2 \left(x + 1\right) \right)}}{\operatorname{asin}{\left(5 x \right)}} + 24 \left(\tanh^{2}{\left(2 \left(x + 1\right) \right)} - 1\right) \left(2 \tanh^{2}{\left(2 \left(x + 1\right) \right)} - 1\right) + \frac{60 \left(\tanh^{2}{\left(2 \left(x + 1\right) \right)} - 1\right) \tanh{\left(2 \left(x + 1\right) \right)}}{\sqrt{1 - 25 x^{2}} \operatorname{asin}{\left(5 x \right)}}\right) \tanh{\left(2 \left(x + 1\right) \right)}}{\operatorname{asin}{\left(5 x \right)}}$$
Tercera derivada
[src]
/ 2 \
3 | 1 6 75*x 30*x | 2 / 2 \ / 2 5*x \
125*tanh (2*(1 + x))*|-------------- + ------------------------- + -------------- - -----------------------| 450*tanh (2*(1 + x))*\-1 + tanh (2*(1 + x))/*|---------------------- + --------------|
| 3/2 3/2 5/2 2 | |/ 2\ 3/2|
/ 2 \ |/ 2\ / 2\ 2 / 2\ / 2\ | |\-1 + 25*x /*asin(5*x) / 2\ | / 2 \ / 2 \
/ 2 \ |/ 2 \ 4 2 / 2 \| \\1 - 25*x / \1 - 25*x / *asin (5*x) \1 - 25*x / \-1 + 25*x / *asin(5*x)/ \ \1 - 25*x / / 360*\-1 + tanh (2*(1 + x))/*\-1 + 2*tanh (2*(1 + x))/*tanh(2*(1 + x))
- 48*\-1 + tanh (2*(1 + x))/*\\-1 + tanh (2*(1 + x))/ + 2*tanh (2*(1 + x)) + 7*tanh (2*(1 + x))*\-1 + tanh (2*(1 + x))// - ------------------------------------------------------------------------------------------------------------ + -------------------------------------------------------------------------------------- - ---------------------------------------------------------------------
asin(5*x) asin(5*x) ___________
/ 2
\/ 1 - 25*x *asin(5*x)
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
asin(5*x)
$$\frac{\frac{450 \left(\frac{5 x}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{\left(25 x^{2} - 1\right) \operatorname{asin}{\left(5 x \right)}}\right) \left(\tanh^{2}{\left(2 \left(x + 1\right) \right)} - 1\right) \tanh^{2}{\left(2 \left(x + 1\right) \right)}}{\operatorname{asin}{\left(5 x \right)}} - 48 \left(\tanh^{2}{\left(2 \left(x + 1\right) \right)} - 1\right) \left(\left(\tanh^{2}{\left(2 \left(x + 1\right) \right)} - 1\right)^{2} + 7 \left(\tanh^{2}{\left(2 \left(x + 1\right) \right)} - 1\right) \tanh^{2}{\left(2 \left(x + 1\right) \right)} + 2 \tanh^{4}{\left(2 \left(x + 1\right) \right)}\right) - \frac{125 \left(\frac{75 x^{2}}{\left(1 - 25 x^{2}\right)^{\frac{5}{2}}} - \frac{30 x}{\left(25 x^{2} - 1\right)^{2} \operatorname{asin}{\left(5 x \right)}} + \frac{1}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + \frac{6}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(5 x \right)}}\right) \tanh^{3}{\left(2 \left(x + 1\right) \right)}}{\operatorname{asin}{\left(5 x \right)}} - \frac{360 \left(\tanh^{2}{\left(2 \left(x + 1\right) \right)} - 1\right) \left(2 \tanh^{2}{\left(2 \left(x + 1\right) \right)} - 1\right) \tanh{\left(2 \left(x + 1\right) \right)}}{\sqrt{1 - 25 x^{2}} \operatorname{asin}{\left(5 x \right)}}}{\operatorname{asin}{\left(5 x \right)}}$$
Gráfico