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y=tg((4*x+1)^3)

Derivada de y=tg((4*x+1)^3)

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Solución

Ha introducido [src]
   /         3\
tan\(4*x + 1) /
$$\tan{\left(\left(4 x + 1\right)^{3} \right)}$$
tan((4*x + 1)^3)
Gráfica
Primera derivada [src]
            2 /       2/         3\\
12*(4*x + 1) *\1 + tan \(4*x + 1) //
$$12 \left(4 x + 1\right)^{2} \left(\tan^{2}{\left(\left(4 x + 1\right)^{3} \right)} + 1\right)$$
Segunda derivada [src]
   /       2/         3\\           /               3    /         3\\
96*\1 + tan \(1 + 4*x) //*(1 + 4*x)*\1 + 3*(1 + 4*x) *tan\(1 + 4*x) //
$$96 \left(4 x + 1\right) \left(3 \left(4 x + 1\right)^{3} \tan{\left(\left(4 x + 1\right)^{3} \right)} + 1\right) \left(\tan^{2}{\left(\left(4 x + 1\right)^{3} \right)} + 1\right)$$
Tercera derivada [src]
    /                                               2                                                                                                                          \
    |       2/         3\     /       2/         3\\           6               3 /       2/         3\\    /         3\               6    2/         3\ /       2/         3\\|
384*\1 + tan \(1 + 4*x) / + 9*\1 + tan \(1 + 4*x) // *(1 + 4*x)  + 18*(1 + 4*x) *\1 + tan \(1 + 4*x) //*tan\(1 + 4*x) / + 18*(1 + 4*x) *tan \(1 + 4*x) /*\1 + tan \(1 + 4*x) ///
$$384 \left(9 \left(4 x + 1\right)^{6} \left(\tan^{2}{\left(\left(4 x + 1\right)^{3} \right)} + 1\right)^{2} + 18 \left(4 x + 1\right)^{6} \left(\tan^{2}{\left(\left(4 x + 1\right)^{3} \right)} + 1\right) \tan^{2}{\left(\left(4 x + 1\right)^{3} \right)} + 18 \left(4 x + 1\right)^{3} \left(\tan^{2}{\left(\left(4 x + 1\right)^{3} \right)} + 1\right) \tan{\left(\left(4 x + 1\right)^{3} \right)} + \tan^{2}{\left(\left(4 x + 1\right)^{3} \right)} + 1\right)$$
Gráfico
Derivada de y=tg((4*x+1)^3)