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

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Solución

Ha introducido [src]
   64         
cos  (2*x - 1)
$$\cos^{64}{\left(2 x - 1 \right)}$$
cos(2*x - 1)^64
Primera derivada [src]
        63                      
-128*cos  (2*x - 1)*sin(2*x - 1)
$$- 128 \sin{\left(2 x - 1 \right)} \cos^{63}{\left(2 x - 1 \right)}$$
Segunda derivada [src]
       62           /     2                   2          \
256*cos  (-1 + 2*x)*\- cos (-1 + 2*x) + 63*sin (-1 + 2*x)/
$$256 \left(63 \sin^{2}{\left(2 x - 1 \right)} - \cos^{2}{\left(2 x - 1 \right)}\right) \cos^{62}{\left(2 x - 1 \right)}$$
Tercera derivada [src]
        61           /          2                   2          \              
1024*cos  (-1 + 2*x)*\- 1953*sin (-1 + 2*x) + 95*cos (-1 + 2*x)/*sin(-1 + 2*x)
$$1024 \left(- 1953 \sin^{2}{\left(2 x - 1 \right)} + 95 \cos^{2}{\left(2 x - 1 \right)}\right) \sin{\left(2 x - 1 \right)} \cos^{61}{\left(2 x - 1 \right)}$$