Question 05 (a) in MATH110(2017)

Hi Han,

Thanks for writing solution for MATH110(2017)!

In Question 05 (a), at the first line (although we can justify it with product rule), I believe what you actually used is the chain rule. Also, can you explain very slowly how you use the chain rule? (for example what is g and h in f(x) = g(h(x)) and then find g' and h', then using the formula you got the derivative). As I mentioned, some students in this class really have difficulty even this part.

Then, for us finding critical points are obvious, but some students don't know how to factor out (4-x^2). So please mention that part too. Otherwise, it could be really hard for them to see that ${\textstyle f'>0}$ when ${\textstyle x<-2}$......

Thanks, Hyunju

Hi Hyunju,

You are right, I meant chain rule and I will add details about finding zeros.

Best,

Han

Thank you so much, Han!