Question

what is the nth differentiation of TanX ?​

Answer 1

The nth derivate of product of 2 functions is given by Leibniz' formula :
(fg)(n)=n∑k=0(nk)f(n−k)g(k)
∀n∈NHn:(fg)(n)=n∑k=0(nk)f(n−k)g(k)
Bases : For n=0, (fg)(0)=fg=(00)f(0)g(0). So, H0 holds.

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