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When finding the first derivative, you calculate the slope of the curve at a point by determining the ratio of delta y over delta x. You make delta x and delta y smaller and smaller; in fact, you take the limit of delta y over delta x as delta x goes to zero.

At this zero limit point, delta y is called dy, and delta x is called dx. They are also called differentials, hence the term differential calculus. They represent the rate at which x and y change at various x's and y's.

Since we are working with differentials, the process of determining the slope, also known as the first derivative, is call differentiation.

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Q: Why is process of finding a first derivative called differentiation?
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