Concept
Derivative test
Related lectures (189)
Convexity and Concavity: Inflection Points, Taylor Expansion, and Darboux Sums
Explores inflection points, convexity, concavity, and asymptotes in functions, with examples and applications.
Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Higher Derivatives, Taylor Introduction
Introduces higher derivatives and the Taylor development, illustrating examples and discussing the uniqueness of the Taylor polynomial.
Generalized Integrals and Convergence
Explores generalized integrals, convergence, implicit functions, and higher-order derivatives.
Derivability and Continuity
Explores derivability, continuity, and composite functions with illustrative examples.
Differential Functions and Tangent Plan
Covers differentiable functions, derivatives, and tangent planes in mathematics.
Asymmetric Functions and Extremas
Covers the definition of asymmetric functions and extremas in functions with examples.
Gradient Analysis
Explores the calculation and analysis of gradients for various functions.
Change of Variables: Derivative and Application
Explores the derivative of composite functions and their application in changing variables.