Derivative: introduction

Related lectures (28)

Page 1 of 3

Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Explores finding the equation of the tangent line to a function's graph at a point.

Explores the limit of a sequence and its convergence properties, including boundedness and monotonicity.

Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.

Explores finding tangent equations and slopes through derivatives.

Explores the connection between limit existence and function continuity, emphasizing derivative properties and function graphs.

Covers the derivative of the composition of two functions and the chain rule theorem.

Explores the theorems of continuity and derivative numbers, including strict monotonicity and the Newton ratio.

Covers the definition of continuity at a point using epsilon and delta.