Support · Mathematics Advanced 11–12 – Year 12 · Differential calculus
Support 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
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Prerequisite dot points
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.
Apply the chain rule: if y is a differentiable function of u, and u is a differentiable function of x, then dy/dx = dy/du × du/dx or if h(x) = f(g(x)) for differentiable functions f(x) and g(x) then h'(x) = f'(g(x))g'(x)
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation 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.