Derivative and Linear Approximation

Related lectures (28)

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

Covers Rolle's Theorem and the Mean Value Theorem with illustrative examples.

Explores Rolle's Theorem for continuous and differentiable functions on closed intervals.

Introduces the study of functions defined by power series and emphasizes the importance of separately considering boundary points.

Covers differentiable functions, derivatives, and tangent planes in mathematics.

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

Explains partial derivatives, Hessienne matrix, and their properties.

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

Covers the derivative of the reciprocal function and its properties.

Explores differentiable functions in R², including vector fields and coordinate transformations.