I've posted something like this before, but this one questions usage rather than reliability.(adsbygoogle = window.adsbygoogle || []).push({});

If f(x) = x^2, and I want to find the change between x at 10 and 11. I could just fill in values

11^2 - 10^2 = 21

Or I could make a differential

dy = 2x dx

dy = 2(10)(1)

dy = 20

Just filling in values took about 3 seconds, but making a differential actually required thinking and time.

If a differential is less accurate and takes more time, why are they even used?

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# Why are differentials used?

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