Book:Murray R. Spiegel/Mathematical Handbook of Formulas and Tables/Chapter 13/Definition of a Derivative
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Definition of a Derivative
If $y = \map f x$, the derivative of $y$ or $\map f x$ with respect to $x$ is defined as:
where $h = \Delta x$. The derivative is also denoted by $y'$, $d f / d x$ or $\map {f'} x$. The process of taking a derivative is called differentiation.