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Lecture
Applications: Trigonometric Functions
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Derivatives: Chain Rule and Composed Functions
Covers derivatives, chain rule, and composed functions with examples and applications.
Trigonometric Functions: Basics and Applications
Introduces the basics of trigonometric functions, their properties, and practical applications in geometry and physics.
Derivatives of Trigonometric Inverse Functions
Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.
Derivatives and Continuity
Covers derivatives, continuity, and reciprocal functions with examples of exponential and trigonometric functions.
Taylor's Formula: Developments and Extrema
Covers Taylor's formula, developments, and extrema of functions, discussing convexity and concavity.
Limits and Derivatives in Multivariable Functions
Covers limits and derivatives in multivariable functions, focusing on continuity, partial derivatives, and the gradient.
Derivatives and Differential Equations
Covers trigonometric functions, derivatives, differential equations, and vector properties.
Differential Equations: Solutions and Monotonicity
Explores solutions of differential equations and their monotonicity properties.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.