MAT320 LECTURE 18 (11/2/2020): L'Hospital's Rule, Taylor's Theorem





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• Video 1: Derivatives assume all intermediate values
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• Video 2: L'Hospital's Rule
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For a counter-example to L'Hospital's Rule when the assumption $g'(x)\neq 0$ is removed, click here or here.



• Video 3: Derivatives of higher order
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• Video 4: Taylor's polynomial
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• Video 5: Proof of Taylor's Theorem
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For visualizations of the approximation given by Taylor's polynomials, click here or here.



• Video 6: Quick tour of derivatives of vector-valued functions
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• Lecture Notes (static file from above videos): PDF file






Last updated: Nov 2, 2020, 11:30pm EDT