Take the function f(x) = x^2. I read that it can be written as f(x) = k(1)Δx(1) + k(2)Δx(2) +... k(n)*Δx(n), where k(n) is the slope of the n-th piecewise linear block, and Δx(n) is the n-th linear block.

How is this derived? Can you explain it?

asked 25 Jul '13, 11:30

spyimp's gravatar image

accept rate: 0%

Assuming I'm interpreting "linear block" correctly, just plot \((x,x^2)\) at the block endpoints and connect the dots - but this is just an approximation, not an equality.


answered 25 Jul '13, 16:55

Paul%20Rubin's gravatar image

Paul Rubin ♦♦
accept rate: 19%

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Asked: 25 Jul '13, 11:30

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Last updated: 25 Jul '13, 16:55

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