# Thread: y = 1 + a1/(x-a1) + a2/((x-a1)(x-a2)) + a3/((x-a1)(x-a2)(x-a3)) then dy/dx ...

1. ## y = 1 + a1/(x-a1) + a2/((x-a1)(x-a2)) + a3/((x-a1)(x-a2)(x-a3)) then dy/dx ...

y = 1 + a1/(x-a1) + a2/((x-a1)(x-a2)) + a3/((x-a1)(x-a2)(x-a3))

then dy/dx = (y/x) (a1/(a1 - x) + a2/(a2 - x) + a2/(a2 - x))

2. You'll have to show us how you got there. Where did a3 go?

y = 1 + a1/(x-a1) + a2/((x-a1)(x-a2)) + a3/((x-a1)(x-a2)(x-a3))

then dy/dx = (y/x) (a1/(a1 - x) + a2/(a2 - x) + a2/(a2 - x))
You have posted a statement, "Given (this), then (that)". You have not asked any question. What are you supposed to be doing with this statement?