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Mathematics · Ch 8 — Differentials and Partial Derivatives

Objective Type Questions

8.7

Objective Type Questions

This 15-question multiple-choice self-test draws on every idea developed in the chapter — percentage error propagation, differentials of a single-variable function, partial derivatives (including second-order mixed partials and Euler's identity for a homogeneous function), and the chain rule for a composite function of one parameter. As with any objective-question set, the fastest route is usually not a full symbolic derivation: compute only the specific number or expression the question asks for, using the shortest applicable rule from the chapter (e.g. the nn-times / 1/n1/n-times percentage-error scaling for a power or root, rather than re-deriving it from first principles each time; or Eu …