Year 12 · Mathematical Methods

Rates, tangents and normals

Free examples and worked answers. No account needed.

Start practisingLoading personal best…

Practise the method.

Polynomial calculus and rates in context.

Example 1

The given quadratic. Horizontal axis: x; vertical axis: y. Horizontal range 0 to 2; vertical range 0 to 21.28.
Show worked answer

Answer:

Example 2

Displacement against time. Horizontal axis: t (s); vertical axis: s (m). Horizontal range 0 to 4; vertical range -45.65 to 407.9.
Show worked answer

Answer:

Example 3

The given cubic. Horizontal axis: x; vertical axis: y. Horizontal range -1 to 2; vertical range -5.755 to 33.83.
Show worked answer

Answer: