Review practice
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
Sketch a derivative across two vertical asymptotes · Sketch the gradient across a pole and a minimum · +4 more
- Question 1 · Sketch a derivative across two vertical asymptotes
- Question 2 · Sketch the gradient across a pole and a minimum
- Question 3 · Differentiate turning points and a stationary inflection
- Question 4 · Read a derivative from an oblique asymptote and two extrema
- Question 5 · Reconstruct a decreasing function with an isolated zero gradient
- Question 6 · Determine a rational curve and sketch its derivative exactly
Section 2 · Questions 7–12
Identify the parabola touched by every line in a family · Convert units before differentiating a conical pile · +4 more
- Question 7 · Identify the parabola touched by every line in a family
- Question 8 · Convert units before differentiating a conical pile
- Question 9 · Optimise and differentiate a triangle on an implicit curve
- Question 10 · Optimise a flower-bed under a wall-building time budget
- Question 11 · Maximise a complete globe on a closed cylindrical base
- Question 12 · Optimise corner flower crates around a central pond