In Henle and Kleinberg’s approach, the derivative is defined using an infinitesimal $dx$ (an actual number that is infinitely small but not zero): $$f'(x) = \textst\left( \fracf(x+dx) - f(x)dx \right)$$
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: An unusual feature is its side-by-side narrative, where the main text is supplemented by wide margins containing additional explanations, exercises, and historical quotes. Digital Availability In Henle and Kleinberg’s approach, the derivative is
Infinitesimal Calculus | Mathematical Association of America In Henle and Kleinberg’s approach
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