Q66 of 354 Page 11

If y = (x – 1)log (x – 1) – (x + 1) log (x +1), prove that .

Given y = (x – 1)log(x – 1) – (x + 1)log(x + 1)


On differentiating y with respect to x, we get





Recall that (uv)’ = vu’ + uv’ (product rule)




We know and.


Also, the derivative of a constant is 0.






Thus,


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