thx :)

i used product rule and got the ans wrong... is it better to stick to quotient rule when faced with a fraction or can i change it to (2x)(4x-3)^-1/2 and apply product rule

Hey, of course you can use product rule, but it will be a hassle. My advice is that when you see an equation that can’t be further simplified into non-fraction form, then just use quotient rule. It will save you so much time in the exam :)

LockB, this is a personal matter of choice - there is no right or wrong approach in doing this.

One of my current students insisted on using the product rule, simply to remember one less formula. You know that the order in “keep first differentiate second + keep second differentiate first” in product rule does not matter as the connecting sign is a plus, whereas the order in “keep second differentiate first - keep first differentiate second” in the numerator of the quotient rule matters as the connecting sign is a minus. If you prefer to remember fewer formulae, then product rule will be the way to go.

Majority of my students, however, prefer the quotient rule due to the relative ease of simplification of the terms.

thx :)