# Piecewise linear approximation of x^2

 0 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 41●1●9 accept rate: 0%

 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 Rubin ♦♦ 14.6k●5●13 accept rate: 19%
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