The Increment Theorem: Understanding Derivatives

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

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

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Covers the rules of derivatives, O-notation, and extrema in the context of theorem 6.5 and examples.