This is one of those rules in algebra that students sometimes often forget. I used a photo editing software to make this post visually attractive and hopefully stimulate the brain so that these Special Algebraic Rules will transferred from short term working memory to long term memory.

Differentiate $latex \displaystyle\ y=\frac{{{{x}^{2}}\sqrt{{x+1}}}}{{x-1}}$ with respect to x. Simplify the Numerator (otherwise you need to use both quotient rule for