Functions, How to List, in Order, the Transformations for a Parabola using the Vertex Form
AA SL · AA HL · Topic 2 · SL 2.11
List a sequence of transformations from a parent parabola.
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Transformations of Functions’ Curves - Vertical Translations - Vertical Shifts
AA SL · AA HL · Topic 2 · SL 2.11
Translate a graph by adding to or subtracting from its output.
Transforming Functions Graphs - Horizontal Stretch - Scale Factor 1/a - Examples - Detailed Lesson
AA SL · AA HL · Topic 2 · SL 2.11
Use the reciprocal input multiplier as the horizontal scale factor.
Transforming Functions Graphs - Vertical Stretch - Scale Factor - How to Stretch a Curve Vertically
AA SL · AA HL · Topic 2 · SL 2.11
Apply a vertical scale factor to every output and track the key points.
How to Find a Derivative at Any Point on TI-Nspire CX | 3 Methods for IB Maths
AA SL · AA HL · AI SL · Topic 5 · SL 5.1
Find a numerical derivative at a chosen point using three TI-Nspire CX methods.
What Is a Derivative? Gradient of a Curve | IB Maths AA & AI 5.1
AA SL · AA HL · AI SL · Topic 5 · SL 5.1
Understand the derivative as the gradient of a curve and interpret values of the gradient function.
What's a Derivative ? Differentiation ? The Gradient Function - Slope of a Curve
AA SL · AA HL · AI SL · Topic 5 · SL 5.1
Connect differentiation, tangent gradients and the gradient function.
How to Make Sign Tables | Masterclass Part 1
AA SL · AA HL · AI SL · Topic 5 · SL 5.2; SL 5.8
Construct sign tables and use them to analyse the signs of expressions.
Increasing & Decreasing Functions Explained | f'(x), Intervals & Stationary Points | IB Maths
AA SL · AA HL · AI SL · Topic 5 · SL 5.2
Use the sign of the derivative to identify intervals of increase and decrease.
Sign of f′(x): Increasing, Decreasing & Sketching f(x) | IB AA & AI Maths Full Lesson
AA SL · AA HL · AI SL · Topic 5 · SL 5.2
Read the sign of the derivative and use a sign table to sketch the original function.
TI NSpire CX - How to Plot the First and Second Derivative Functions and Analyze Them
AA SL · AA HL · Topic 5 · SL 5.2; SL 5.7
Plot and analyse the first and second derivative functions on a TI-Nspire CX.
Gradient of a Curve = Gradient of the Tangent | IB Maths AA & AI Topic 5.3
AA SL · AA HL · AI SL · Topic 5 · SL 5.3
Interpret the gradient of a curve as the gradient of its tangent at a point.
Power Rule Differentiation FULL LESSON | IB Maths AA & AI | 9 Examples
AA SL · AA HL · AI SL · Topic 5 · SL 5.3
Apply the power rule for differentiation through nine worked examples.
Power Rule for Differentiation - Formula and Examples
AA SL · AA HL · AI SL · Topic 5 · SL 5.3
Learn the power rule and apply it to differentiate powers of x.
Power Rule for Products & Quotients of Powers | IB Maths AA & AI SL/HL
AA SL · AA HL · AI SL · Topic 5 · SL 5.3
Simplify products and quotients of powers before applying the power rule.
Equation of a Tangent to a Curve: 3-Step Method | IB Maths
AA SL · AA HL · AI SL · Topic 5 · SL 5.4
Find the equation of a tangent using the point on the curve and its derivative.
Normal Line to a Curve - How to Find its Equation - Method & Worked Example - Calculus
AA SL · AA HL · AI SL · Topic 5 · SL 5.4
Find the equation of a normal using its point and perpendicular gradient.
Definite Integrals on TI-Nspire CX II | 3 Methods Every IB Maths Student Should Know
AI SL · Topic 5 · SL 5.5
Evaluate definite integrals on the TI-Nspire CX II using three calculator methods.
IB Maths AI SL 5.5: Area Under a Curve with TI-Nspire CX | Definite Integrals
AI SL · Topic 5 · SL 5.5
Calculate the area under a curve using a definite integral on the TI-Nspire CX.
TI NSpire CX - How to Evaluate Definite Integrals Graphically with a Calculator
AA SL · AA HL · AI SL · Topic 5 · SL 5.11; SL 5.5
Evaluate a definite integral graphically on a TI-Nspire CX.
Chain Rule - Useful Shortcuts - Differentiation Must-Knows - Useful Results
AA SL · AA HL · Topic 5 · SL 5.6
Apply useful chain-rule shortcuts to common composite functions.
Chain Rule for Differentiating Composite Functions - Formula - Examples
AA SL · AA HL · Topic 5 · SL 5.6
Differentiate composite functions with the chain rule.
Product Rule for Differentiation - How to Differentiate a Product of Functions - Formula & Examples
AA SL · AA HL · Topic 5 · SL 5.6
Differentiate products of functions using the product rule.
Quotient Rule for Differentiation - Formula & Worked Examples
AA SL · AA HL · Topic 5 · SL 5.6
Differentiate quotients of functions with a step-by-step quotient-rule method.