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y=(4x-2)*(2x+6)tg(4*(6x+9))

Derivada de y=(4x-2)*(2x+6)tg(4*(6x+9))

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

Ha introducido [src]
(4*x - 2)*(2*x + 6)*tan(4*(6*x + 9))
$$\left(2 x + 6\right) \left(4 x - 2\right) \tan{\left(4 \left(6 x + 9\right) \right)}$$
((4*x - 2)*(2*x + 6))*tan(4*(6*x + 9))
Gráfica
Primera derivada [src]
                               /           2             \                    
(20 + 16*x)*tan(4*(6*x + 9)) + \24 + 24*tan (4*(6*x + 9))/*(2*x + 6)*(4*x - 2)
$$\left(2 x + 6\right) \left(4 x - 2\right) \left(24 \tan^{2}{\left(4 \left(6 x + 9\right) \right)} + 24\right) + \left(16 x + 20\right) \tan{\left(4 \left(6 x + 9\right) \right)}$$
Segunda derivada [src]
   /   /       2              \                 /       2              \                                                         \
16*\12*\1 + tan (12*(3 + 2*x))/*(5 + 4*x) + 288*\1 + tan (12*(3 + 2*x))/*(-1 + 2*x)*(3 + x)*tan(12*(3 + 2*x)) + tan(12*(3 + 2*x))/
$$16 \left(288 \left(x + 3\right) \left(2 x - 1\right) \left(\tan^{2}{\left(12 \left(2 x + 3\right) \right)} + 1\right) \tan{\left(12 \left(2 x + 3\right) \right)} + 12 \left(4 x + 5\right) \left(\tan^{2}{\left(12 \left(2 x + 3\right) \right)} + 1\right) + \tan{\left(12 \left(2 x + 3\right) \right)}\right)$$
Tercera derivada [src]
     /       2                    /       2              \                                  /       2              \ /         2              \                   \
1152*\1 + tan (12*(3 + 2*x)) + 12*\1 + tan (12*(3 + 2*x))/*(5 + 4*x)*tan(12*(3 + 2*x)) + 96*\1 + tan (12*(3 + 2*x))/*\1 + 3*tan (12*(3 + 2*x))/*(-1 + 2*x)*(3 + x)/
$$1152 \left(96 \left(x + 3\right) \left(2 x - 1\right) \left(\tan^{2}{\left(12 \left(2 x + 3\right) \right)} + 1\right) \left(3 \tan^{2}{\left(12 \left(2 x + 3\right) \right)} + 1\right) + 12 \left(4 x + 5\right) \left(\tan^{2}{\left(12 \left(2 x + 3\right) \right)} + 1\right) \tan{\left(12 \left(2 x + 3\right) \right)} + \tan^{2}{\left(12 \left(2 x + 3\right) \right)} + 1\right)$$
Gráfico
Derivada de y=(4x-2)*(2x+6)tg(4*(6x+9))