>[!quote] Format Definition >"The *instantaneous rate of change* of a function with respect to one of its [[Variable|variables]]" For $f(x)=y$, the derivative of $f$ ($f'(x)$ or $\frac{df}{dx}$) is equal to: $\huge \frac{df}{dx}(x)= \lim_{h \to \infty} \frac{ f(x+h) - f(x) }{h} $ The derivative is also a [[Linear Transformation|Linear]] [[Higher-Order]] function.