Debug Info:
{
  "title": "Derivative",
  "symbol": "d/dx",
  "definition": "The derivative of a function represents its rate of change with respect to a variable, typically denoted as x.",
  "usage": "The derivative of a function f(x) is written as f'(x) or df/dx.",
  "examples": [
    {
      "description": "Derivative of x^2",
      "latex": "\\frac{d}{dx}(x^2) = 2x"
    },
    {
      "description": "Derivative notation",
      "latex": "f'(x) = \\lim_{h \\to 0} \\frac{f(x+h) - f(x)}{h}"
    }
  ],
  "tags": [
    "calculus",
    "differentiation",
    "rate of change"
  ],
  "relatedConcepts": [
    "integral",
    "limit",
    "continuous function"
  ]
}

Derivative

Symbol

d/dx

Definition

The derivative of a function represents its rate of change with respect to a variable, typically denoted as x.

Usage

The derivative of a function f(x) is written as f'(x) or df/dx.

Examples

Tags

Related Concepts