Support · Mathematics Advanced 11–12 – Year 12 · Differential calculus
Support Use the chain rule to differentiate functions of the form e^(f(x))
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
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.
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 product rule: if y = uv, where u and v are both differentiable functions of x, then dy/dx = udv/dx + vdu/dx or if h(x) = f(x)g(x) for differentiable functions f(x) and g(x) then h'(x) = f(x)g'(x) + f'(x)g(x)
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.