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^(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*tgx*thx
- x multiplicar por tgx multiplicar por thx
- xtgxthx
Derivada de x*tgx*thx
Solución
Ha introducido
[src]
x*tan(x)*tanh(x)
$$x \tan{\left(x \right)} \tanh{\left(x \right)}$$
(x*tan(x))*tanh(x)
Primera derivada
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/ / 2 \ \ / 2 \ \x*\1 + tan (x)/ + tan(x)/*tanh(x) + x*\1 - tanh (x)/*tan(x)
$$x \left(1 - \tanh^{2}{\left(x \right)}\right) \tan{\left(x \right)} + \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \tanh{\left(x \right)}$$
Segunda derivada
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// 2 / 2 \ \ / 2 \ / / 2 \ \ / 2 \ \ 2*\\1 + tan (x) + x*\1 + tan (x)/*tan(x)/*tanh(x) - \-1 + tanh (x)/*\x*\1 + tan (x)/ + tan(x)/ + x*\-1 + tanh (x)/*tan(x)*tanh(x)/
$$2 \left(x \left(\tanh^{2}{\left(x \right)} - 1\right) \tan{\left(x \right)} \tanh{\left(x \right)} - \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tanh^{2}{\left(x \right)} - 1\right) + \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right) \tanh{\left(x \right)}\right)$$
Tercera derivada
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/ / 2 \ / 2 / 2 \ \ / 2 \ / / 2 \\ / 2 \ / / 2 \ \ / 2 \ / 2 \ \ 2*\- 3*\-1 + tanh (x)/*\1 + tan (x) + x*\1 + tan (x)/*tan(x)/ + \1 + tan (x)/*\3*tan(x) + x*\1 + 3*tan (x)//*tanh(x) + 3*\-1 + tanh (x)/*\x*\1 + tan (x)/ + tan(x)/*tanh(x) - x*\-1 + tanh (x)/*\-1 + 3*tanh (x)/*tan(x)/
$$2 \left(- x \left(\tanh^{2}{\left(x \right)} - 1\right) \left(3 \tanh^{2}{\left(x \right)} - 1\right) \tan{\left(x \right)} + 3 \left(x \left(\tan^{2}{\left(x \right)} + 1\right) + \tan{\left(x \right)}\right) \left(\tanh^{2}{\left(x \right)} - 1\right) \tanh{\left(x \right)} + \left(x \left(3 \tan^{2}{\left(x \right)} + 1\right) + 3 \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \tanh{\left(x \right)} - 3 \left(\tanh^{2}{\left(x \right)} - 1\right) \left(x \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} + \tan^{2}{\left(x \right)} + 1\right)\right)$$
Gráfico