[
  {
    "term": "derivative",
    "definition": "The derivative is the limit of average rates of change over shrinking intervals. Geometrically it is tangent slope; contextually it is instantaneous rate with output units divided by input units."
  },
  {
    "term": "derivative graph",
    "definition": "A derivative graph records the slope of the original function. Positive derivative values correspond to increasing behavior, zeros often correspond to horizontal tangents, and derivative magnitude reflects steepness."
  }
]