Consider the 2-variable function f1x1, x22! 1x123 - 5x1x2 + 61x222 with current point x = 10,
Question:
Consider the 2-variable function f1x1, x22!
1x123 - 5x1x2 + 61x222 with current point x = 10, 22 and move direction x = 11, -12.
(a) Derive the first-order Taylor approximation to f1x + lx2.
(b) Derive the second-order Taylor approximation to f1x + lx2.
(c) Plot the original function and both Taylor series approximations as functions of l.
How accurate do the approximations appear to be? Which is better?
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