Calculus Practice

Instructions

1. State dimensions for vector and matrix derivatives.
2. Separate method-selection errors from algebra errors.

Ordered items

1. Limit, derivative, integral, and Taylor checkCalculus · 8 min
2. Gradient, tangent plane, linearization, and directional derivativeCalculus · 12 min
3. Jacobian and chain ruleCalculus · 10 min
4. Critical points and constrained domain boundariesCalculus · 14 min
5. Multivariable chain rule under a change of variablesCalculus · 10 min
6. Lagrange multiplier equations and tangent geometryCalculus · 10 min
7. Total differentials and implicit differentiationCalculus · 10 min
8. Matrix gradient and HessianCalculus · 10 min

Completion

Derive gradients, Jacobians, Hessians, and constrained first-order conditions without relying on source notation.