Support · Mathematics Advanced 11–12 – Year 12 · Applications of calculus
Support Use repeated differentiation to find second derivatives of a function y = f(x), denoting them by f''(x) or (d²y)/(dx²) or y''
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 fact that the derivative of a sum is the sum of the derivatives: d/dx(f(x) + g(x)) = f'(x) + g'(x), and the derivative of a multiple of a function is the multiple of its derivative: d/dx(k⋅f(x)) = k⋅f'(x)
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.
Use the notation dy/dx and y' for the derivative of y when y is a function of x
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.
Use the notation d/dx(f(x)) and f'(x) for the derivative of a function f(x)
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.