Integral Techniques: Change of Variable

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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 integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

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

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

Explores Riemann integrability, the fundamental theorem of integral calculus, and various integration techniques.

Covers the derivative of the composition of two functions and its applications.

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