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Physics lover

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- Homework Statement
- if y=1+a1/(x-1) +a2x((x-a1)(x-a2)) +a3x^2/((x-a1)(x-a2)(x-a3))+....+anx^n-1/((x-a1)(x-a2)...(x-an)).

Find dy/dx.

Sorry i haven't used LaTeX this time as i will first have to learn it.

- Relevant Equations
- Logarithmic differentiation

I first solved the first two terms and then i solved the resulting term with the third term and so on.At last i was left with x^n/((x-a1)(x-a2)...(x-an)) .Thrn i took log on both sides and then differentiated both sides with respect to x.I got 1/y dy/dx=n/x -1/(x-a1)-1/(x-a2)...-1/(x-an).But now I was stuck.How will i get rid of that n there as it is not in the answer.

Help please.

Help please.