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lecture24bw - LECTURE 24 DERIVATIVE = SLOPE f(x Numerical...

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LECTURE 24 N i l Diff ti ti Numerical Differentiation Finite Differences Textbook: Section 8.3 E7, Fall 2008, M. Frenklach DERIVATIVE = SLOPE f ( x ) x 0 a ( ) ( ) ( ) 0 lim f a f a f x a δ δ δ + = = 2 NUMERICAL DIFFERENTIATION f ( x ) x 0 Δ x ( ) 1 ' i i y y y f x + Δ = 1 i i x x x + Δ 3 FINITE DIFFERENCES x y 0 0 8 2 1 1 27 3 64 4 # # 125 5 4
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