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Graph Sketching: Motion Analysis
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Differential Calculation: Trigonometric Derivatives
Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Real Functions: Definitions and Examples
Explores definitions and examples of real functions of a real variable.
Black Holes: Dimensional Analysis and Gravitational Force
Covers the study of black holes and gravitational force.
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Gravitational Waves: Observations and Implications
Explores the detection of gravitational waves, focusing on the first observation of a binary black hole merger and its implications for astrophysics.
Partial Derivatives: Derivability
Explores partial derivatives and derivability of functions, emphasizing geometric interpretations and avoiding common pitfalls.
Derivability and Chain Rule
Covers the demonstration of the chain rule and the theorem of Rolle.
Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.
Derivatives and Tangent Planes
Covers derivatives, differentiability, and tangent planes for functions of one and two variables.
Angular Momentum and Gravitational Law
Explores gravitational motion equations, energy conservation, black holes, and cosmology.