MML-06-03: Directional Derivatives, Steepest Ascent & Level Set Geometry – Practice Quiz

30 worked single-select and multiselect questions. Tier 1–3. Prerequisites: QS 6.2, Part 03. Learning goals: Compute directional derivatives for differentiable scalar fields; Normalize directions and distinguish spatial rates from path speed; Find Euclidean steepest-ascent and descent directions; Use Cauchy–Schwarz to prove directional-rate bounds; Relate gradients to regular level curves and tangent planes; Diagnose zero gradients and zero first-order rates; Apply directional geometry to local ML loss diagnostics. Column gradients and output-by-input Jacobians are used where relevant. Detailed solutions explain every choice. References: Source 1.