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Derivada de la función/ x^2+4/ x*exp/ 2x^4-5/ x*exp(3(2x^4-5x^2+4)^6)

Derivada de x*exp(3(2x^4-5x^2+4)^6)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
                      6
     /   4      2    \ 
   3*\2*x  - 5*x  + 4/ 
x*e
xe3((2x4−5x2)+4)6x e^{3 \left(\left(2 x^{4} - 5 x^{2}\right) + 4\right)^{6}} 
x*exp(3*(2*x^4 - 5*x^2 + 4)^6)
Primera derivada [src] 
                                                           6                       6
                     5                    /   4      2    \       /   4      2    \ 
    /   4      2    \  /            3\  3*\2*x  - 5*x  + 4/     3*\2*x  - 5*x  + 4/ 
3*x*\2*x  - 5*x  + 4/ *\-60*x + 48*x /*e                     + e
3x(48x3−60x)((2x4−5x2)+4)5e3((2x4−5x2)+4)6+e3((2x4−5x2)+4)63 x \left(48 x^{3} - 60 x\right) \left(\left(2 x^{4} - 5 x^{2}\right) + 4\right)^{5} e^{3 \left(\left(2 x^{4} - 5 x^{2}\right) + 4\right)^{6}} + e^{3 \left(\left(2 x^{4} - 5 x^{2}\right) + 4\right)^{6}}
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Segunda derivada [src] 
                                                                                                                                                                            6
                      4 /                                                                                    2                    2                  6\    /       2      4\ 
     /       2      4\  |/         2\ /       2      4\     /        2\ /       2      4\       2 /        2\        2 /        2\  /       2      4\ |  3*\4 - 5*x  + 2*x / 
36*x*\4 - 5*x  + 2*x / *\\-5 + 12*x /*\4 - 5*x  + 2*x / + 2*\-5 + 4*x /*\4 - 5*x  + 2*x / + 10*x *\-5 + 4*x /  + 36*x *\-5 + 4*x / *\4 - 5*x  + 2*x / /*e
36x(2x4−5x2+4)4(36x2(4x2−5)2(2x4−5x2+4)6+10x2(4x2−5)2+2(4x2−5)(2x4−5x2+4)+(12x2−5)(2x4−5x2+4))e3(2x4−5x2+4)636 x \left(2 x^{4} - 5 x^{2} + 4\right)^{4} \left(36 x^{2} \left(4 x^{2} - 5\right)^{2} \left(2 x^{4} - 5 x^{2} + 4\right)^{6} + 10 x^{2} \left(4 x^{2} - 5\right)^{2} + 2 \left(4 x^{2} - 5\right) \left(2 x^{4} - 5 x^{2} + 4\right) + \left(12 x^{2} - 5\right) \left(2 x^{4} - 5 x^{2} + 4\right)\right) e^{3 \left(2 x^{4} - 5 x^{2} + 4\right)^{6}}
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Tercera derivada [src] 
                                                                                                                                                                                                                                                                                                                                                                                                      6
                    3 /     /                    2                    3                                                                       7                                              3                  6                     3                  12\                       /                                                  2                    2                  6\\    /       2      4\ 
   /       2      4\  |   2 |   /       2      4\        2 /        2\       /        2\ /         2\ /       2      4\      /       2      4\  /        2\ /         2\        2 /        2\  /       2      4\         2 /        2\  /       2      4\  |     /       2      4\ |/         2\ /       2      4\       2 /        2\        2 /        2\  /       2      4\ ||  3*\4 - 5*x  + 2*x / 
36*\4 - 5*x  + 2*x / *\2*x *\12*\4 - 5*x  + 2*x /  + 40*x *\-5 + 4*x /  + 15*\-5 + 4*x /*\-5 + 12*x /*\4 - 5*x  + 2*x / + 54*\4 - 5*x  + 2*x / *\-5 + 4*x /*\-5 + 12*x / + 540*x *\-5 + 4*x / *\4 - 5*x  + 2*x /  + 648*x *\-5 + 4*x / *\4 - 5*x  + 2*x /  / + 3*\4 - 5*x  + 2*x /*\\-5 + 12*x /*\4 - 5*x  + 2*x / + 10*x *\-5 + 4*x /  + 36*x *\-5 + 4*x / *\4 - 5*x  + 2*x / //*e
36(2x2(648x2(4x2−5)3(2x4−5x2+4)12+540x2(4x2−5)3(2x4−5x2+4)6+40x2(4x2−5)3+54(4x2−5)(12x2−5)(2x4−5x2+4)7+15(4x2−5)(12x2−5)(2x4−5x2+4)+12(2x4−5x2+4)2)+3(2x4−5x2+4)(36x2(4x2−5)2(2x4−5x2+4)6+10x2(4x2−5)2+(12x2−5)(2x4−5x2+4)))(2x4−5x2+4)3e3(2x4−5x2+4)636 \left(2 x^{2} \left(648 x^{2} \left(4 x^{2} - 5\right)^{3} \left(2 x^{4} - 5 x^{2} + 4\right)^{12} + 540 x^{2} \left(4 x^{2} - 5\right)^{3} \left(2 x^{4} - 5 x^{2} + 4\right)^{6} + 40 x^{2} \left(4 x^{2} - 5\right)^{3} + 54 \left(4 x^{2} - 5\right) \left(12 x^{2} - 5\right) \left(2 x^{4} - 5 x^{2} + 4\right)^{7} + 15 \left(4 x^{2} - 5\right) \left(12 x^{2} - 5\right) \left(2 x^{4} - 5 x^{2} + 4\right) + 12 \left(2 x^{4} - 5 x^{2} + 4\right)^{2}\right) + 3 \left(2 x^{4} - 5 x^{2} + 4\right) \left(36 x^{2} \left(4 x^{2} - 5\right)^{2} \left(2 x^{4} - 5 x^{2} + 4\right)^{6} + 10 x^{2} \left(4 x^{2} - 5\right)^{2} + \left(12 x^{2} - 5\right) \left(2 x^{4} - 5 x^{2} + 4\right)\right)\right) \left(2 x^{4} - 5 x^{2} + 4\right)^{3} e^{3 \left(2 x^{4} - 5 x^{2} + 4\right)^{6}}
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