Change of Variables: Derivative and Application

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Explores the definition and derivability of functions in differential calculus, emphasizing differentiability at specific points.

Explores finding the equation of the tangent line to a function's graph at a point.

Explores the definition and properties of derivatives, including slopes of tangent lines and differentiability conditions.

Explores derivability, continuity, and composite functions with illustrative examples.

Covers differentiability, composition of functions, partial derivatives, Jacobian matrix, and polar coordinates.

Explores differentiability, tangent lines, and graph interpretation.

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Explores directional derivatives, showcasing scenarios where they exist but the function is not differentiable.

Covers the derivative of the composition of two functions and the chain rule theorem.

Explores directional derivatives, their calculation, examples, and cases of lack of continuity.