Calculus

Stewart, J. (2015). Calculus.

Type

Book

Intellectual base

Review or monograph

Year

2015

Link

https://www.cengage.com/c/calculus-8e-stewart/

Cited from

synthesized

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Inverted-U Response
  • The shape is the first-derivative-zero, second-derivative-negative geometry: the response is maximal where its slope is zero and its curvature negative.

    This sourceStandard single-variable calculus reference for the first-derivative-zero, second-derivative-negative (second-derivative test) characterization of an interior maximum.

Domain-specific

• Inflection point
  • A zero second derivative is neither necessary under weak smoothness nor sufficient by itself; definitions must state curve orientation, differentiability and whether a genuine sign change is required.

Verification

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

Registry ID ref:b347e0fa0d0a · see in the full table