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(x^xtan(2x-1))

Derivada de (x^xtan(2x-1))

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

Ha introducido [src]
 x             
x *tan(2*x - 1)
$$x^{x} \tan{\left(2 x - 1 \right)}$$
x^x*tan(2*x - 1)
Gráfica
Primera derivada [src]
 x /         2         \    x                          
x *\2 + 2*tan (2*x - 1)/ + x *(1 + log(x))*tan(2*x - 1)
$$x^{x} \left(\log{\left(x \right)} + 1\right) \tan{\left(2 x - 1 \right)} + x^{x} \left(2 \tan^{2}{\left(2 x - 1 \right)} + 2\right)$$
Segunda derivada [src]
 x //1               2\                   /       2          \                  /       2          \              \
x *||- + (1 + log(x)) |*tan(-1 + 2*x) + 4*\1 + tan (-1 + 2*x)/*(1 + log(x)) + 8*\1 + tan (-1 + 2*x)/*tan(-1 + 2*x)|
   \\x                /                                                                                           /
$$x^{x} \left(\left(\left(\log{\left(x \right)} + 1\right)^{2} + \frac{1}{x}\right) \tan{\left(2 x - 1 \right)} + 4 \left(\log{\left(x \right)} + 1\right) \left(\tan^{2}{\left(2 x - 1 \right)} + 1\right) + 8 \left(\tan^{2}{\left(2 x - 1 \right)} + 1\right) \tan{\left(2 x - 1 \right)}\right)$$
Tercera derivada [src]
 x //            3   1    3*(1 + log(x))\                   /       2          \ /1               2\      /       2          \ /         2          \      /       2          \                           \
x *||(1 + log(x))  - -- + --------------|*tan(-1 + 2*x) + 6*\1 + tan (-1 + 2*x)/*|- + (1 + log(x)) | + 16*\1 + tan (-1 + 2*x)/*\1 + 3*tan (-1 + 2*x)/ + 24*\1 + tan (-1 + 2*x)/*(1 + log(x))*tan(-1 + 2*x)|
   ||                 2         x       |                                        \x                /                                                                                                      |
   \\                x                  /                                                                                                                                                                 /
$$x^{x} \left(6 \left(\left(\log{\left(x \right)} + 1\right)^{2} + \frac{1}{x}\right) \left(\tan^{2}{\left(2 x - 1 \right)} + 1\right) + 24 \left(\log{\left(x \right)} + 1\right) \left(\tan^{2}{\left(2 x - 1 \right)} + 1\right) \tan{\left(2 x - 1 \right)} + 16 \left(\tan^{2}{\left(2 x - 1 \right)} + 1\right) \left(3 \tan^{2}{\left(2 x - 1 \right)} + 1\right) + \left(\left(\log{\left(x \right)} + 1\right)^{3} + \frac{3 \left(\log{\left(x \right)} + 1\right)}{x} - \frac{1}{x^{2}}\right) \tan{\left(2 x - 1 \right)}\right)$$
Gráfico
Derivada de (x^xtan(2x-1))