this question worst case scenario u can just use ur calc and test points. U realise that as y-> a big value, dy/dx -> 0+. U can immediately rule out a,c, d. But if u want the 'proper' way, carrots gives a great definition. (this is just to point out that in an exam u can still manage the get the...
for this question i basically just made sample graphs lol
for y=x^2, if take the inverse u get y=sqrt x (assuming u take the positive), diffing it gives u 1/(2sqrt x), subbing x=1 gives a gradient of 1/2.
now if u diff y=x^2, u get y=2x, subbing in x=1 u get y=2.
Gradient of 2 and 1/2 is not...
imo just algebra, most of the stuff u learn prior to yr10 makes no difference in yr11 n 12 extension. almost all new topics lol, but every question has algebra so ig its the most important thing. trigonometry helps too.
my friend is at a school in top 40 in nsw
here are his ranks: b6 based on last cohort
english advanced: 13/120 - 35b6
english ext1: 7/35- 9b6
math ext1 - 1/95 - 43b6
math ext2 - 5/42 - 17b6
physics - 2/50 -14b6
chem - 9/55 - 9b6
hes hoping for 99.5+ to make dent. is his atar okay or should...
wait but for sin^-1(sqrtx) there is a restriction on range... its [0,pi/2] instead of [-pi/2, pi/2], is this becus the domain got restricted so the range also changed?