{"query": "Differentiate twice: position → velocity → acceleration", "count": 5, "results": [{"id": "card_works_calculus_chain", "title": "Differentiate twice: position → velocity → acceleration", "shelf": "the-works", "surface": "secular", "snippet": "A body's position goes as t³ in this toy law. Differentiate once for velocity, again for acceleration. Each differentiation is machine-checked; the second stands on the first.  Worked & sealed by the ", "authority_tier": "verified", "source": "The Works — worked & sealed", "generated": false}, {"id": "card_src_word_differentiate", "title": "differentiate", "shelf": "dictionary", "surface": "secular", "snippet": "differentiate: (verb) mark as different — syn: distinguish, separate, secern, secernate, severalize, severalise · (verb) be a distinctive feature, attribute, or trait — syn: distinguish, mark · (verb)", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_pron_differentiates", "title": "differentiates", "shelf": "pronunciation", "surface": "secular", "snippet": "", "authority_tier": "", "source": "", "generated": false}, {"id": "card_src_pron_differentiate", "title": "differentiate", "shelf": "pronunciation", "surface": "secular", "snippet": "", "authority_tier": "", "source": "", "generated": false}, {"id": "card_src_word_differentiator", "title": "differentiator", "shelf": "dictionary", "surface": "secular", "snippet": "differentiator: (noun) a person who (or that which) differentiates — syn: discriminator", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}]}