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x*tgx*thx
Derivada de la función/ x*tgx/ x*thx/ x*tgx*thx

Derivada de x*tgx*thx

Función f() - derivada -er orden en el punto
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
x*tan(x)*tanh(x)
xtan⁡(x)tanh⁡(x)x \tan{\left(x \right)} \tanh{\left(x \right)} 
(x*tan(x))*tanh(x)
Gráfica
02468-8-6-4-2-1010-50005000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
/  /       2   \         \             /        2   \       
\x*\1 + tan (x)/ + tan(x)/*tanh(x) + x*\1 - tanh (x)/*tan(x)
x(1−tanh⁡2(x))tan⁡(x)+(x(tan⁡2(x)+1)+tan⁡(x))tanh⁡(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)}
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Segunda derivada [src] 
  //       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(x(tanh⁡2(x)−1)tan⁡(x)tanh⁡(x)−(x(tan⁡2(x)+1)+tan⁡(x))(tanh⁡2(x)−1)+(x(tan⁡2(x)+1)tan⁡(x)+tan⁡2(x)+1)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)
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Tercera derivada [src] 
  /    /         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(−x(tanh⁡2(x)−1)(3tanh⁡2(x)−1)tan⁡(x)+3(x(tan⁡2(x)+1)+tan⁡(x))(tanh⁡2(x)−1)tanh⁡(x)+(x(3tan⁡2(x)+1)+3tan⁡(x))(tan⁡2(x)+1)tanh⁡(x)−3(tanh⁡2(x)−1)(x(tan⁡2(x)+1)tan⁡(x)+tan⁡2(x)+1))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)
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Gráfico
Derivada de x*tgx*thx
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