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Graph of a Function
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Related lectures (31)
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Derivative and Local Extrema Study
Explores the study of local minima and maxima through derivatives and sign changes.
Optimization of Functions: Maximum and Minimum
Covers the optimization of functions, focusing on finding the maximum and minimum values over a given domain.
Concavity and Convexity: Analysis of Functions
Explores concavity, convexity, critical points, and singularities in functions.
Convexity and Concavity
Covers the definitions of convexity, concavity, stationary points, and inflection points.
Optimization Techniques: Local and Global Extrema
Discusses optimization techniques, focusing on local and global extrema in functions.
Application of Taylor's approximation formula
Covers the application of Taylor's formula, including composition of functions and detecting local extrema.
Curvature and Inflection Points
Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Differential Calculation: Trigonometric Derivatives
Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Taylor's Formula: Developments and Applications
Explores Taylor's formula, polynomials, functions, and series applications.
Chapter 5: Function Studies
Covers the study of functions, including limits, derivatives, and sign variations.