Digital arithmetic seems straightforward, but how do calculators do calculus? How do calculators find the area between two curves, or calculate the instantaneous rate of change of a function?
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same way you do before you learn easy differential tricks: Estimate with asymptotes. If you can’t program in the fancy equation to get the exact slope at x=8, just calculate the slope between x=8 and x=8.000000000000000000000000001. The calculator will run out of room on the display before the difference gets shown.
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