Calculus
IB Topic 5, complete: limits and the derivative idea, increasing/decreasing analysis, the power rule, tangents and normals, integration as anti-differentiation, the chain/product/quotient rules, the second derivative and concavity, optimisation, kinematics, integration techniques, and definite integrals with areas — SL 5.1 to 5.11, taught to markscheme standard. The SL spine's finale.
Builds on
Everything: SL 2.1's lines power tangents, SL 3.4's radians power trig calculus, SL 2.10's equation craft returns throughout. The capstone topic.
Lessons
- 01Limits & the Idea of the Derivative
- 02Increasing & Decreasing: Reading f′
- 03The Power Rule
- 04Tangents & Normals
- 05Integration: Differentiation in Reverse
- 06Chain, Product & Quotient Rules
- 07The Second Derivative & Concavity
- 08Maxima, Minima & Optimisation
- 09Kinematics: Motion Under the Derivative
- 10Integration Techniques
- 11Definite Integrals & Areas
Ready to check yourself?