"Let us think of x as a quantity that can grow by a small amount so as to become x + dx, where dx is the small increment added by growth. The square of this is x^2 + 2x\cdot dx + dx^2. The second term is not negligible because it is a first-order quantity; while the third term is of the second order of smallness, being a bit of, a bit of x2."
Calculus Made Easy

January 1, 1970

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Original Language: English