Lectures related to Computing Derivatives: Derivatives and Algebraic Operations

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

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

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

Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.

Explains partial derivatives, Hessienne matrix, and their properties.

Covers the rules of derivatives, O-notation, and extrema in the context of theorem 6.5 and examples.

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

Revisits the definition of differentiability and the existence of derivatives for functions in open intervals.

Covers derivatives, differentiability, and tangent planes for functions of one and two variables.

Covers algebraic operations on derivatives and the concept of continuity and differentiability.

Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.

Explores differentiability, tangent lines, and graph interpretation.

Covers differentiability of functions in two variables and the conditions for a function to be differentiable.

Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.

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

Covers properties of logarithms, derivatives, exponentials, and sine-cosine functions.

Explores differentiability in two variables and the chain rule for compositions.

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.