Support · Mathematics Extension 1 11–12 – Year 12 · Further calculus skills
Support Apply the product, quotient and chain rules to find derivatives of functions of the form f(x)g(x), (f(x))/(g(x)) and f(g(x)) where f(x) and g(x) are any of the functions covered in the scope of the Mathematics Advanced 11–12 Syllabus (2024) or inverse trigonometric functions and solve related problems
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.
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Prerequisite dot points
Apply the product, quotient and chain rules to differentiate functions of the form f(x)g(x), (f(x))/(g(x)) or f(g(x)), where f(x) and g(x) are any of the functions within the scope of the Mathematics Advanced course
Mathematics Advanced 11–12 – Year 12 · Differential calculus Draft mapping
No checked resources on this prerequisite dot point yet.
Graph piecewise-defined functions involving functions covered in the scope of the Mathematics Advanced course, test if they are even or odd, and determine the domain and range
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.
Identify and apply the product, quotient or chain rule, or a combination of the rules, as appropriate to differentiate a given function
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.