Discussion questions
Choose a section to work through its questions and solutions. Your progress is shared across pages. Ranges follow collection order; original source labels are kept on each question.
Section 1 · Questions 1–6
Match a function to its derivative · Sketch a derivative from a maximum and asymptotes · +4 more
- Question 1 · Match a function to its derivative
- Question 2 · Sketch a derivative from a maximum and asymptotes
- Question 3 · Differentiate the shape with a sloping asymptote
- Question 4 · Recover a decreasing function from its modulus
- Question 5 · Read stationary points and concavity from a gradient graph
- Question 6 · Recover a function from its gradient and one value
Section 2 · Questions 7–12
Find horizontal and vertical tangents to a closed curve · Find a logarithmic tangent and a two-intersection slope range · +4 more
- Question 7 · Find horizontal and vertical tangents to a closed curve
- Question 8 · Find a logarithmic tangent and a two-intersection slope range
- Question 9 · Use implicit tangents and a normal to bound an area
- Question 10 · Differentiate a triangle constrained to fixed area
- Question 11 · Optimise a rectangle inside a semicircle
- Question 12 · Minimise the cone circumscribed about a sphere
Section 3 · Question 13
Combine a leaking cone with trapezium optimisation