Question: 1. [Derivatives warm-up, 1+2pts] (a Consider the function f : R - R defined by f(x) = x4. Show it has a unique global minimum

1. [Derivatives warm-up, 1+2pts] (a Consider the function f : R - R defined by f(x) = x4. Show it has a unique global minimum at a* = 0, but that it doesn't satisfy the second-order sufficient conditions at a*. (b) Compute the second-order Taylor expansion of the function f(x1, 2) = e-31 sin x2 about the point (1, (2) = (0, 7/2)7. Use this to estimate f (1, 7/4)

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