It's not likely someone would archive notes on the topic you wanted in an electronic form, but we can share you tips and tricks which could save your ass in the HSC.
Basically, try to use the second derivate whenever possible to find whether stationary points are maximum or minimum, otherwise sub in values left and right to the stationary point with the first derivative.
Oh and one thing, the functions given to you in the HSC (like the one below) have curves which could turn very quickly or turn quite unnoticably and you need to be more precise in your working.
e.g If x = 0 was your point of inflexion and you wanna see if it is actually is a possible point of inflexion, do you sub in x = -1 and x = 1 for LHS and RHS respectively ?
You could, but since some curves can change rapidly upon a 10th of a unit, try x = -0.1 and x = 0.1 for LHS and RHS respectively to sub in.
This is the curve
f(x) = x
3 - 2x
2 + x - 1
Now would you rather sub in values to 10th of a place (e.g 0.9, -1.3, 11.2) or use integers (1, 17, -4) to find stationary, turning points and points of inflexion ?
Sir/Miss, do I sketch curves in pen or pencil ?
The y- and x- axes in pen, the curve and everything else in pencil, in case you make a mistake and also make them to scale.
You must make the positive y-axis scale to the negative y-axis and the same for the x-axis.
e.g If your stationary point was (-3, 85), you can't plot that if both axes are in increments of 1 unit, what I would do is make the y-axis in increments or 10, 15 or 20 unit increments and the x-axis in just 1 unit increments.
Bottom line is simply adjust your axes according to the functions.
