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Differential calculus grew from the problem of defining:

ATangent lines
BBounded areas
CPrime numbers
DComplex roots
Answer & Solution
Correct answer: A. Tangent lines
1. The two halves of calculus answer two different questions. 2. One asks how steep a graph is at a point. 3. That is the problem of defining tangent lines and their slopes. _Source: syllabus Mathematics Part II, Chapter 7, Integrals._
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