"difference quotient" meaning in English

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      "form": "difference quotients",
      "tags": [
        "plural"
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      "expansion": "difference quotient (plural difference quotients)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
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      "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"
}

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      "form": "difference quotients",
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "derivative"
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    {
      "word": "difference equation"
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        "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."
      ],
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        [
          "mathematical analysis",
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        ],
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          "slope",
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          "secant#English"
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          "vertical",
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          "difference",
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          "horizontal",
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        ],
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      "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."
      ],
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        "mathematical-analysis",
        "mathematics",
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      ],
      "wikipedia": [
        "en:difference quotient"
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  ],
  "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"
}