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Concise notes, key facts, worked examples and common mistakes.
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UK · A Level · Pearson Edexcel
A course-aware revision pathway with source metadata, topic map, paper/test structure, approved original practice, flashcards, AI tutor handoff and BattleMode reward connection. This route is labelled Fully covered after passing the StudyVector depth gate.
Concise notes, key facts, worked examples and common mistakes.
Original questions mapped to topic, subtopic, skill and provider.
Active recall decks for formulas, facts, vocabulary and practicals.
Energy earned only from real revision progress and mistake repair.
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Top-level route areas visible before signup.
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Smaller learning blocks for repair and review.
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Practice targets used by diagnostics and tutor handoff.
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Success criteria tied to real answers, not passive reading.
This plan uses your course route, target date and confidence. It is a starter preview until the student saves the course in onboarding.
4-week sprint: StudyVector starts with the highest-signal topic before widening the plan.
25 min · 10 energyflashcardsSpaced recall keeps today's work from fading before the next session.
9 min · 4 energyexam modeTimed practice turns understanding into exam/test readiness.
18 min · 12 energyai tutorTutor mode uses course-aware language and should guide, not shortcut, the answer.
8 min · 3 energyA Level Maths
A Level Maths
A Level Maths
A Level Maths
A Level Maths
A Level Maths
A Level Maths
A Level Maths
A Level Maths
A Level Maths
A Level Maths
Differentiate y = (3x^2 + 1)^4 with respect to x.
Source type: original · Review status: approved
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Last checked 2026-04-29. No Pearson question wording, papers, or mark schemes are embedded.
Last checked 2026-04-29. Internal original mapping; not copied from paid platforms or official papers.
These previews come from the first-party course map and approved question registry. Fully covered means the public route has topic depth, skills, objectives, worked examples and mistake repair attached before students enter full practice.
Differentiation
What to know
Common mistake
Differentiating the outside but forgetting the inner derivative
Worked example
A Calculus question gives a graph, equation and context. What should the first working line do?
Calculus exam practice
What to know
Common mistake
Starting with a memorised method before checking what the question asks for.
Worked example
A Calculus question gives a graph, equation and context. What should the first working line do?
Algebraic methods and proof
What to know
Common mistake
Starting with a memorised method before checking what the question asks for.
Worked example
A Pure algebra and functions question gives a graph, equation and context. What should the first working line do?
1. What skill does the approved sample question test?
a level maths
Let u = 3x^2 + 1. Then y = u^4, so dy/du = 4u^3 and du/dx = 6x. Multiply to get dy/dx = 24x(3x^2 + 1)^3.
2. What mistake should you watch for in Differentiation?
Differentiating the outside but forgetting the inner derivative
StudyVector stores common mistake patterns so the next attempt can repair the specific error rather than restart the whole course.
3. What should happen after a missed mark?
Review the explanation, name the mistake, then answer a similar question while the correction is fresh.
The page feeds the same loop as practice: attempt, feedback, repair, and return.