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MIT·David Jerison
51:33
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Single Variable Calculus →#14 of 14
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Differentials and Antiderivatives
48:53Mean Value Theorem and Inequalities
49:42Newton's Method and Other Applications
53:23Related Rates
49:56Max-Min Problems
49:42Approximations (cont.); Curve Sketching
51:44Linear and Quadratic Approximations
46:48Exponential and Logarithmic Functions; Logarithmic Differentiation; Hyperbolic Functions
47:57Implicit Differentiation, Inverses
49:01Chain Rule; Higher Derivatives
46:03Hyperbolic Functions (cont.) and Exam 1 Review
50:53Derivatives of Products, Quotients, Sine, and Cosine
49:55Limits, Continuity, and Trigonometric Limits
52:47Derivatives, Slope, Velocity, and Rate of Change
51:33Derivatives, Slope, Velocity, and Rate of Change
An introductory lecture from MIT's Single Variable Calculus course, establishing the fundamental concepts of derivatives, slope, velocity, and instantaneous rates of change.
Lecture 01: Derivatives, slope, velocity, rate of change *Note: this video was revised, raising the audio levels.