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
-
Derivative of x^2
\frac{d}{dx}(x^2) = 2x -
Derivative notation
f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}