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Lecture
Applications of Differential Calculus
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Related lectures (29)
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Differentiable Functions and Lagrange Multipliers
Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.
Extrema of Functions
Covers the discussion of local extrema, concavity, convexity, and inflection points in functions.
Taylor Series and Function Analysis
Explores Taylor series, function properties, inflection points, and critical points in graphical and mathematical contexts.
Differential Calculation: Trigonometric Derivatives
Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Convex Functions
Covers the properties and operations of convex functions.
Mathematical Analysis: Functions and Composition
Covers the analysis of functions, composition, and mathematical induction.
Finding Absolute Extrema in Multivariable Functions
Covers the conditions for finding absolute extrema in multivariable functions.
Convexity and Concavity: Inflection Points, Taylor Expansion, and Darboux Sums
Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.