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.