Consider the 1-variable function f1x2! x3 - 3x2 + 11x at current point x = 3. (a)
Question:
Consider the 1-variable function f1x2! x3 -
3x2 + 11x at current point x = 3.
(a) Derive the first-order Taylor approximation to f1x + l2.
(b) Derive the second-order Taylor approximation to f1x + l2.
(c) Plot the original function and both Taylor series approximations in the vicinity of x.
How accurate do the approximations appear to be? Which is better?
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