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(x+sec(e^x))tanhx
Derivada de la función/ tanhx/ (x+sec(e^x))tanhx

Derivada de (x+sec(e^x))tanhx

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

Gráfico:

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Definida a trozos:

Solución

Ha introducido [src] 
/       / x\\        
\x + sec\E //*tanh(x)
(x+sec⁡(ex))tanh⁡(x)\left(x + \sec{\left(e^{x} \right)}\right) \tanh{\left(x \right)} 
(x + sec(E^x))*tanh(x)
Gráfica
02468-8-6-4-2-101020000000-10000000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
/        2   \ /       / x\\   /     x    / x\    / x\\        
\1 - tanh (x)/*\x + sec\E // + \1 + e *sec\E /*tan\E //*tanh(x)
(1−tanh⁡2(x))(x+sec⁡(ex))+(extan⁡(ex)sec⁡(ex)+1)tanh⁡(x)\left(1 - \tanh^{2}{\left(x \right)}\right) \left(x + \sec{\left(e^{x} \right)}\right) + \left(e^{x} \tan{\left(e^{x} \right)} \sec{\left(e^{x} \right)} + 1\right) \tanh{\left(x \right)}
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Segunda derivada [src] 
    /     x    / x\    / x\\ /         2   \     /         2   \ /       / x\\           /   2/ x\  x   /       2/ x\\  x      / x\\  x    / x\        
- 2*\1 + e *sec\E /*tan\E //*\-1 + tanh (x)/ + 2*\-1 + tanh (x)/*\x + sec\E //*tanh(x) + \tan \E /*e  + \1 + tan \E //*e  + tan\E //*e *sec\E /*tanh(x)
2(x+sec⁡(ex))(tanh⁡2(x)−1)tanh⁡(x)−2(extan⁡(ex)sec⁡(ex)+1)(tanh⁡2(x)−1)+((tan⁡2(ex)+1)ex+extan⁡2(ex)+tan⁡(ex))extanh⁡(x)sec⁡(ex)2 \left(x + \sec{\left(e^{x} \right)}\right) \left(\tanh^{2}{\left(x \right)} - 1\right) \tanh{\left(x \right)} - 2 \left(e^{x} \tan{\left(e^{x} \right)} \sec{\left(e^{x} \right)} + 1\right) \left(\tanh^{2}{\left(x \right)} - 1\right) + \left(\left(\tan^{2}{\left(e^{x} \right)} + 1\right) e^{x} + e^{x} \tan^{2}{\left(e^{x} \right)} + \tan{\left(e^{x} \right)}\right) e^{x} \tanh{\left(x \right)} \sec{\left(e^{x} \right)}
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Tercera derivada [src] 
    /         2   \ /           2   \ /       / x\\     /     x    / x\    / x\\ /         2   \           /   3/ x\  2*x        2/ x\  x     /       2/ x\\  x     /       2/ x\\  2*x    / x\      / x\\  x    / x\             /         2   \ /   2/ x\  x   /       2/ x\\  x      / x\\  x    / x\
- 2*\-1 + tanh (x)/*\-1 + 3*tanh (x)/*\x + sec\E // + 6*\1 + e *sec\E /*tan\E //*\-1 + tanh (x)/*tanh(x) + \tan \E /*e    + 3*tan \E /*e  + 3*\1 + tan \E //*e  + 5*\1 + tan \E //*e   *tan\E / + tan\E //*e *sec\E /*tanh(x) - 3*\-1 + tanh (x)/*\tan \E /*e  + \1 + tan \E //*e  + tan\E //*e *sec\E /
−2(x+sec⁡(ex))(tanh⁡2(x)−1)(3tanh⁡2(x)−1)+6(extan⁡(ex)sec⁡(ex)+1)(tanh⁡2(x)−1)tanh⁡(x)−3(tanh⁡2(x)−1)((tan⁡2(ex)+1)ex+extan⁡2(ex)+tan⁡(ex))exsec⁡(ex)+(5(tan⁡2(ex)+1)e2xtan⁡(ex)+3(tan⁡2(ex)+1)ex+e2xtan⁡3(ex)+3extan⁡2(ex)+tan⁡(ex))extanh⁡(x)sec⁡(ex)- 2 \left(x + \sec{\left(e^{x} \right)}\right) \left(\tanh^{2}{\left(x \right)} - 1\right) \left(3 \tanh^{2}{\left(x \right)} - 1\right) + 6 \left(e^{x} \tan{\left(e^{x} \right)} \sec{\left(e^{x} \right)} + 1\right) \left(\tanh^{2}{\left(x \right)} - 1\right) \tanh{\left(x \right)} - 3 \left(\tanh^{2}{\left(x \right)} - 1\right) \left(\left(\tan^{2}{\left(e^{x} \right)} + 1\right) e^{x} + e^{x} \tan^{2}{\left(e^{x} \right)} + \tan{\left(e^{x} \right)}\right) e^{x} \sec{\left(e^{x} \right)} + \left(5 \left(\tan^{2}{\left(e^{x} \right)} + 1\right) e^{2 x} \tan{\left(e^{x} \right)} + 3 \left(\tan^{2}{\left(e^{x} \right)} + 1\right) e^{x} + e^{2 x} \tan^{3}{\left(e^{x} \right)} + 3 e^{x} \tan^{2}{\left(e^{x} \right)} + \tan{\left(e^{x} \right)}\right) e^{x} \tanh{\left(x \right)} \sec{\left(e^{x} \right)}
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Gráfico
Derivada de (x+sec(e^x))tanhx
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