Resumen de A geometric approach to calculus

A. V. Grebe

• This investigation explores whether it would be possible to derive the calculus from a geometric basis. The article proves several rules of calculus for polynomials and explains how to differentiate and integrate arbitrary polynomial functions. Differentiation is performed by calculating the slope of a tangent line drawn to a function. Definite integration calculates the area under the graph of a function by comparing this area to a hypersolid's content using Cavalieri's principle.