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Course: Staging content lifeboat > Unit 11
Lesson 1: Internal- AP Calculus exam samples
- Calc graveyard
- Island of especially painful problems (to be rehabilitated)
- Homeless existing Calc items
- Samples for AP videos
- Applying existence theorems
- Limits from graphs warmup
- Using tables to approximate limits
- Limits from tables challenge problems
- Differentiate composite functions (all function types)
- First derivative test: find the error
- Inflection points with second derivative: find the error
- 𝘶-substitution: find the error
- Differentiate powers of functions
- Slope and arc length of parametric curves
- Modeling with differential equations
- Parametric equations and their graphs
- Using multiple properties of definite integrals
- Curve sketching
- Differentiating products
- Product rule to find derivative of product of three functions
- Proof: limit of (sin x)/x at x=0
- Proof: d/dx(ln x) = 1/x
- Proof: d/dx(eˣ) = eˣ
- Proofs of derivatives of ln(x) and eˣ
- Limits from graphs: function undefined
- Limits from graphs: limit isn't equal to the function's value
- Limits from graphs: limit is different on each side
- Limits from graphs: asymptote
- Limits from graphs: non-integer limit
- Squeeze theorem example
- Approximating limits
- Conditions for MVT: graph
- Conditions for MVT: graph
- Conditions for MVT: table
- Existence theorems intro
- Worked examples: Definite integral properties 2
- Definite integral properties (no graph): function combination
- Definite integral properties (no graph): breaking interval
- Sketches of curves of functions
- Analyzing straight-line motion graphically
- Vector-valued functions integrations
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𝘶-substitution: find the error
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