Support · Mathematics Advanced 11–12 – Year 12 · Applications of calculus
Support Analyse the stationary points of a function by testing values for f'(x), then classify the stationary points as local minima or local maxima where gradients change around the point, or horizontal points of inflection where gradients have the same sign on both sides of the point
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Describe the behaviour of a function at a point as stationary when the tangent at the point is parallel to the x -axis, and recognise that f(x) is stationary at x = c when f'(c) = 0
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.
Identify stationary points on the graph of a cubic function, and the values of x for which the function is increasing and/or decreasing, by first calculating the derivative, and justify conclusions
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.
Determine the equation of a straight line passing through a point (x_1,y_1) with gradient m using the point–gradient formula y - y_1 = m(x - x_1)
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.