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Erschienen in:
2019 | OriginalPaper | Buchkapitel
1. Introduction
verfasst von : John Vince
Erschienen in: Calculus for Computer Graphics
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Abstract
Well this is an easy question to answer. Basically, Calculus has two parts: differential and integral. Differential Calculus is used for computing a function’s rate of change relative to one of its arguments. Generally, one begins with a function such as f(x), and as x changes, a corresponding change occurs in f(x). Differentiating f(x) with respect to x, produces a second function \(f'(x)\), which gives the rate of change of f(x) for any x. For example, and without explaining why, if \(f(x)=x^2\), then \(f'(x)=2x\), and when \(x=3\), f(x) is changing \(2\times 3=6\) times faster than x. Which is rather neat!