isn't correct=1/2x^-1/2 (x^2 +1 – 4x^2)
recall x^(1/2) = x^(-1/2) * x
(1/2x^-1/2) – x^1/2 (2x) = x^(-1/2)[ 1/2 -x (2x)]
= 1/2x^(-1/2)[1-4x^2]
Hi, I am not sure how the 1/2x^-1/2 was factorized out in this numerator that was derived from the quotient rule. Can some please explain.
= (x^2 + 1) (1/2x^-1/2) – x^1/2 (2x)
=1/2x^-1/2 (x^2 +1 – 4x^2)
I understand how factorization works but I am not sure what happened in this case.
Thank you.