Algebraic Structure and Generative Differentiation Rules
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چکیده
and then one needs to have in place—or to stop and establish—the fact that differentiability implies continuity. Proving the product rule this way can teach students that mathematics is esoteric and fragile, a paralyzing idea in the long run. • Similarly but worse, proving the chain rule inevitably runs into problems. The corresponding trick of inserting two terms that multiply to 1 gives something along the lines of
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