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Lecture
Derivatives and Tangents
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Calculus: Derivatives and Integrals
Covers the fundamentals of calculus, focusing on derivatives and integrals.
Derivatives: Chain Rule and Composed Functions
Covers derivatives, chain rule, and composed functions with examples and applications.
Derivatives: Tangents and Secants
Covers derivatives, tangents, secants, and rules for deriving elementary functions.
Derivatives and Reciprocal Functions
Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
Derivatives and Continuity
Covers continuous differentiability, the Bernoulli-l'Hôpital rule, and finding extrema using derivatives.
Generalized Powers: Derivatives and Exponentials
Covers properties of logarithms, derivatives, exponentials, and sine-cosine functions.
Power Functions: Properties and Derivatives
Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.
Laplacian in Polar and Spherical Coordinates: Derivatives
Covers the Laplacian operator in polar and spherical coordinates, focusing on derivatives and integral calculations.
General Mathematics I: Derivatives and Tangents
Explores derivatives, tangents, and elementary function rules in general mathematics.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.