Support · Mathematics Advanced 11–12 – Year 12 · Differential calculus
Support Use the rules of differentiation to show that d/dx(tanx) = sec²x
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
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.
Use the rules for differentiation to find equations of tangents and normals to a curve at points on the curve
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.