Question:
Find the derivative of the following functions: [1+(1/x)] /[1-(1/x)]
Answer:
Let y = [1+(1/x)] /[1-(1/x)]
then dy/dx = [{1-(1/x)}*(-1/x2 )]/[{1+(1/x)}*(1/x2 )]
= (1/x2 ) [(1/x) -1 - 1 - (1/x)]/[1-(1/x)]2
= [-2/x2 ]/[(x-1)/x]2
= -2/(x-1)2
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