Eric Nicholas K's answer to Low's Math Malaysia question.

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
Let u = numerator and v = denominator, so that y = u/v.

dy/dx equals

[v du/dx - u dv/dx] whole thing divided by v2.

If we call numerator 'first' and denominator 'second', then the formula for dy/dx reads

"Keep second differentiate first - Keep first differentiate second, then whole thing divided by second square".