Lectures related to Derivation Term by Term

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

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

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

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

Covers the derivative of the reciprocal function and its properties.

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

Explores Taylor series expansions for derivatives and integrals, including practical applications.

Explores bijective functions, coordinate transformations, and graphical representations in two dimensions.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

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

Explores derivability, continuity, and composite functions with illustrative examples.

Covers Fermat's theorem, necessary optimality conditions, convexity, and eigenvalue curvature in optimization.

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

Covers the concept of approximating a function around a point xo using linear approximation.

Explores algebraic operations on limited developments and their consequences on differentiable functions, illustrated through examples.

Covers the definition and properties of differentiable functions, focusing on differentiability, limits, continuity, and partial derivatives.

Covers the definition of differentiable functions and explores the representation of the remainder in derivatives.

Explores the extension of the chain rule to higher dimensions and compositions of functions.

Explores differentiability, tangent lines, and graph interpretation.

Explains partial derivatives, Hessienne matrix, and their properties.