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Lecture
Derivability and Tangents
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Related lectures (30)
Tangent to Graph of a Function
Explores finding the equation of the tangent line to a function's graph at a point.
Derivatives and Local Extrema
Explores derivatives, local extrema, and function variation in mathematical analysis.
Derivatives: Definition and Properties
Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.
Derivatives and Reciprocal Functions
Covers derivatives, reciprocal functions, Rolle's theorem, and extremum local concepts.
Differential Calculus: Definition and Derivability
Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.
Derivatives and Continuity in Mathematics
Covers derivatives, continuity, Rolle's Theorem, function examples, and extrema.
Differentiability of Functions of Several Variables
Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.
Differentiability and Partial Derivatives
Explores differentiability in two variables and the chain rule for compositions.
Linear Approximation and Derivative Parametric
Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.
Rolle's Theorem: Applications and Examples
Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.
Derivatives and Tangent Planes
Covers derivatives, differentiability, and tangent planes for functions of one and two variables.
Derivability Conditions
Explores conditions for non-differentiability in multivariable calculus and the implications of the differentiability theorem.
Derivatives and Approximations: Logarithmic Functions
Explores derivatives and approximations, focusing on logarithmic functions and their properties.
Demonstration of Rolle's Theorem
Demonstrates how to use a specific function to prove Rolle's Theorem.
Differentiability and Tangent Planes
Explores differentiability in functions and geometric interpretation of tangent planes.
Derivability and Continuity
Explores derivability, continuity, and composite functions with illustrative examples.
Functions of LR: Differentiability
Explains differentiability in LR functions and introduces the Jacobian matrix.
Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.
Differentiability and Derivatives
Covers differentiability, derivatives, composite functions, linear approximation, and partial derivatives.
Derivative of a Function: Tangent Equation
Explores finding tangent equations and slopes through derivatives.
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