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Derivada de la función/ y=tan/ (2x-1)/ y=tan^4(2x-1)^3

Derivada de y=tan^4(2x-1)^3

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

Ha introducido [src] 
   64         
tan  (2*x - 1)
$$\tan^{64}{\left(2 x - 1 \right)}$$ 
tan(2*x - 1)^64
Primera derivada [src] 
   63          /             2         \
tan  (2*x - 1)*\128 + 128*tan (2*x - 1)/
$$\left(128 \tan^{2}{\left(2 x - 1 \right)} + 128\right) \tan^{63}{\left(2 x - 1 \right)}$$
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Segunda derivada [src] 
       62           /       2          \ /           2          \
256*tan  (-1 + 2*x)*\1 + tan (-1 + 2*x)/*\63 + 65*tan (-1 + 2*x)/
$$256 \left(\tan^{2}{\left(2 x - 1 \right)} + 1\right) \left(65 \tan^{2}{\left(2 x - 1 \right)} + 63\right) \tan^{62}{\left(2 x - 1 \right)}$$
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Tercera derivada [src] 
                                          /                                            2                                          \
        61           /       2          \ |     4                  /       2          \           2           /       2          \|
1024*tan  (-1 + 2*x)*\1 + tan (-1 + 2*x)/*\2*tan (-1 + 2*x) + 1953*\1 + tan (-1 + 2*x)/  + 190*tan (-1 + 2*x)*\1 + tan (-1 + 2*x)//
$$1024 \left(\tan^{2}{\left(2 x - 1 \right)} + 1\right) \left(1953 \left(\tan^{2}{\left(2 x - 1 \right)} + 1\right)^{2} + 190 \left(\tan^{2}{\left(2 x - 1 \right)} + 1\right) \tan^{2}{\left(2 x - 1 \right)} + 2 \tan^{4}{\left(2 x - 1 \right)}\right) \tan^{61}{\left(2 x - 1 \right)}$$
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