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Derivada de y=tan(i*n*(9*x+1))

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Solución

Ha introducido [src]
tan(I*n*(9*x + 1))
$$\tan{\left(i n \left(9 x + 1\right) \right)}$$
tan((i*n)*(9*x + 1))
Primera derivada [src]
      /       2               \
9*I*n*\1 + tan (I*n*(9*x + 1))/
$$9 i n \left(\tan^{2}{\left(i n \left(9 x + 1\right) \right)} + 1\right)$$
Segunda derivada [src]
        2 /        2             \                  
-162*I*n *\1 - tanh (n*(1 + 9*x))/*tanh(n*(1 + 9*x))
$$- 162 i n^{2} \left(1 - \tanh^{2}{\left(n \left(9 x + 1\right) \right)}\right) \tanh{\left(n \left(9 x + 1\right) \right)}$$
Tercera derivada [src]
        3 /        2             \ /           2             \
1458*I*n *\1 - tanh (n*(1 + 9*x))/*\-1 + 3*tanh (n*(1 + 9*x))/
$$1458 i n^{3} \left(1 - \tanh^{2}{\left(n \left(9 x + 1\right) \right)}\right) \left(3 \tanh^{2}{\left(n \left(9 x + 1\right) \right)} - 1\right)$$