- #1
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I've posted something like this before, but this one questions usage rather than reliability.
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?
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?