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Further Mathematics
A Level
Prove that (AB)^-1 = B^-1 A^-1
This problem can be solved in 8 steps:
1. Let AB = C
2. A-1AB = A-1C
3. IB = A-1C as the identity matrix I = A-1A
Differentiate artanh(x) with respect to x
First we set y=artanh(x). Then we rearrange such that tanh(y)=x. There several approaches to find dy/dx, but the quickest is to use implicit differentiation.
The differential of tanh(y) is sech
