Derivatives and Continuity in Mathematics

Related lectures (20)

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Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Explores Rolle's theorem application and function extrema conditions.

Explores inflection points in functions, emphasizing the role of the second derivative.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.

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

Explains partial and directional derivatives, and functions' derivability.

Covers the fundamentals of calculus, focusing on derivatives and integrals.

Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.