"difference quotient" meaning in English

{
  "forms": [
    {
      "form": "difference quotients",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "difference quotient (plural difference quotients)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Mandarin terms with redundant transliterations",
          "parents": [
            "Terms with redundant transliterations",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The slope of a secant as obtained by dividing the vertical difference between two intersections of the secant and a curve with their horizontal distance. When the horizontal distance approaches zero the slope of the secant approaches the derivative of the curve."
      ],
      "id": "en-difference_quotient-en-noun-Ny-qAqmk",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "slope",
          "slope#English"
        ],
        [
          "secant",
          "secant#English"
        ],
        [
          "vertical",
          "vertical#English"
        ],
        [
          "difference",
          "difference#English"
        ],
        [
          "horizontal",
          "horizontal#English"
        ],
        [
          "derivative",
          "derivative"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) The slope of a secant as obtained by dividing the vertical difference between two intersections of the secant and a curve with their horizontal distance. When the horizontal distance approaches zero the slope of the secant approaches the derivative of the curve."
      ],
      "related": [
        {
          "word": "derivative"
        },
        {
          "word": "difference equation"
        }
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "chāshāng",
          "sense": "slope of the secant",
          "word": "差商"
        },
        {
          "code": "da",
          "lang": "Danish",
          "sense": "slope of the secant",
          "tags": [
            "common-gender"
          ],
          "word": "differenskvotient"
        },
        {
          "code": "nl",
          "lang": "Dutch",
          "sense": "slope of the secant",
          "tags": [
            "neuter"
          ],
          "word": "differentiaalquotiënt"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "slope of the secant",
          "word": "erotusosamäärä"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "slope of the secant",
          "tags": [
            "masculine"
          ],
          "word": "Differenzenquotient"
        }
      ],
      "wikipedia": [
        "en:difference quotient"
      ]
    }
  ],
  "word": "difference quotient"
}

{
  "forms": [
    {
      "form": "difference quotients",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "difference quotient (plural difference quotients)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "derivative"
    },
    {
      "word": "difference equation"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Mandarin terms with redundant transliterations",
        "en:Mathematical analysis"
      ],
      "glosses": [
        "The slope of a secant as obtained by dividing the vertical difference between two intersections of the secant and a curve with their horizontal distance. When the horizontal distance approaches zero the slope of the secant approaches the derivative of the curve."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "slope",
          "slope#English"
        ],
        [
          "secant",
          "secant#English"
        ],
        [
          "vertical",
          "vertical#English"
        ],
        [
          "difference",
          "difference#English"
        ],
        [
          "horizontal",
          "horizontal#English"
        ],
        [
          "derivative",
          "derivative"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) The slope of a secant as obtained by dividing the vertical difference between two intersections of the secant and a curve with their horizontal distance. When the horizontal distance approaches zero the slope of the secant approaches the derivative of the curve."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "en:difference quotient"
      ]
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "chāshāng",
      "sense": "slope of the secant",
      "word": "差商"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "slope of the secant",
      "tags": [
        "common-gender"
      ],
      "word": "differenskvotient"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "slope of the secant",
      "tags": [
        "neuter"
      ],
      "word": "differentiaalquotiënt"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "slope of the secant",
      "word": "erotusosamäärä"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "slope of the secant",
      "tags": [
        "masculine"
      ],
      "word": "Differenzenquotient"
    }
  ],
  "word": "difference quotient"
}