From the course: Assembling Calculus
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Numerical derivatives
From the course: Assembling Calculus
Numerical derivatives
- [Instructor] The simple examples of derivatives and integrals we've seen so far can be solved with just a little algebra. Suppose though that we want to generate the value of the curve or to simulate the behavior of a system that has a derivative or integral as part of it. Then we might want to create a computer model, sometimes called a numerical model. In this chapter of the course, we'll show some techniques and then move on to applying them to simulate to how some classic systems vary over time in later movies. All the 3D printed models we're showing in the course were made by making similar approximations, as we'll see in these next few movies. In an earlier movie, we saw that we could approximate derivative as a difference between a function at one point x, and at a slightly different position, x plus delta X. Suppose we have an equation for the derivative of a curve and initial value of the function, we can use…
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