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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There are two ways.
With code that can do a analytic solution like you do with pen and paper. It can give a exact result.
The other way is with numerical analysis, it do not need to find a analytical solution for the equation. It is something like if you calculate the value of the function at many points along it’s length, connected the points with strait lines and calculate the area between the points along that line.
For the rate of change, calculate the value of two points close to eachother, the value difference an distance between the point can be used to calculate the rate of change.
In practise you have a bit more complicated ways to get a better result but it all used calculated values att different points
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