TI-Nspire CX: Plot y = f′(x) & Solve f′(x) = 0 | IB Maths AA & AI Calculus
AA SL · AA HL · AI SL · Topic 5 · SL 5.8; SL 5.6
Generate the derivative graph, solve f′(x) = 0 and use it to classify stationary points.
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How to Sketch a function y = f(x) given the graph of its derivative y = f'(x)
AA SL · AA HL · Topic 5 · SL 5.7
Sketch a possible original function from the graph of its derivative.
Point of Inflexion – Complete Worked Example | Second Derivative Test f''(x)
AA SL · AA HL · Topic 5 · SL 5.7
Find points of inflexion by checking changes in the sign of the second derivative.
Second Derivative & Concavity of a Function - How it all Works - Full Lesson
AA SL · AA HL · Topic 5 · SL 5.7
Connect the second derivative to concavity and the shape of a function.
Stationary Points from f′(x) | Full Lesson + GDC Classification | IB Maths AA SL & HL
AA SL · AA HL · Topic 5 · SL 5.7; SL 5.8
Locate and classify stationary points from the graph of the derivative.
Calculus Exam Question | Stationary Points | Second Derivative Test | Product Rule
AA SL · AA HL · Topic 5 · SL 5.8
Solve a calculus exam question involving stationary points, the product rule and the second derivative test.
IB Maths AI SL Trapezoidal Rule Exam Question | Full Step-by-Step Solution
AI SL · Topic 5 · SL 5.8
Work through an IB AI SL exam question using the trapezoidal rule.
Second Derivative Test for Classifying Stationary Points - How it Works - Rules and Example
AA SL · AA HL · Topic 5 · SL 5.8
Classify stationary points with the second derivative test.
Stationary Points - First Derivative Test - Study Sign of Derivative to Classify Them - Sign Table
AA SL · AA HL · Topic 5 · SL 5.8
Construct a sign table for the derivative and use it to classify stationary points.
Stationary Points | Finding & Classifying Them using the First Derivative | First Derivative Test
AA SL · AA HL · Topic 5 · SL 5.8
Find and classify stationary points using the first derivative test.
Trapezoidal Rule Explained | Understand the Formula | IB Maths AI SL & HL
AI SL · Topic 5 · SL 5.8
Understand how the trapezoidal-rule formula approximates an area.
Trapezoidal Rule Step by Step | Complete IB Maths AI SL Worked Example
AI SL · Topic 5 · SL 5.8
Apply the trapezoidal rule step by step in a complete worked example.
When the Second Derivative Test Fails: What to Do Next | IB Maths AA SL & HL
AA SL · AA HL · Topic 5 · SL 5.8
Use alternative tests when the second derivative is zero at a stationary point.
Displacement Integrals FULL LESSON | IB Maths AA SL & HL Kinematics Part 1
AA SL · AA HL · Topic 5 · SL 5.9
Find displacement by integrating velocity.
IB Math AA Kinematics: Velocity Function, v(t)=48+12t−6t^2 | Paper 1 Exam Question Walkthrough
AA SL · AA HL · Topic 5 · SL 5.9
Work through a Paper 1 kinematics question involving a quadratic velocity function.
IB Math AA: Finding Distance from Velocity (Integrating |v(t)| Full Lesson Part 2)
AA SL · AA HL · Topic 5 · SL 5.9
Find total distance by integrating speed and accounting for changes in direction.
Integrals with U-Substitution trick you need for the IB Exam (Video 2)
AA SL · AA HL · Topic 5 · SL 5.10
Extend substitution methods to rational functions and related integrals.
Integrals with U-Substitution What you need for the IB Exam (Video 1)
AA SL · AA HL · Topic 5 · SL 5.10
Recognise and solve integrals using substitution and reverse-chain-rule ideas.
U-Substitution for Definite Integrals: 2 Methods Explained | IB AA SL & HL
AA SL · AA HL · Topic 5 · SL 5.10
Use substitution in definite integrals, with or without changing the limits.
Area Between Two Curves for Exams - TI NSpire CX
AA SL · AA HL · Topic 5 · SL 5.11
Find the area between two curves with a TI-Nspire CX.
Definite Integrals as Signed Area | Full Lesson | IB Maths AA SL/HL
AA SL · AA HL · Topic 5 · SL 5.11
Interpret definite integrals as signed area and distinguish them from total geometric area.
How to Calculate the Area Enclosed Between Two Curves - The Formula - Tutorial 1
AA SL · AA HL · Topic 5 · SL 5.11
Set up the integral for the area enclosed between two curves.
How to Evaluate Definite Integrals | Newton–Leibniz Formula Step by Step | IB Maths
AA SL · AA HL · Topic 5 · SL 5.11
Evaluate definite integrals with the Newton–Leibniz formula.
IB Maths AA HL : Differentiation from First Principles (Step-by-Step)
AA HL · Topic 5 · AHL 5.12
Derive a derivative from first principles with careful algebraic steps.