Please show step by step and show your work If f(x) is optimal at x = x*, show that the minimum of first even derivative of f(x) [i.e.f"(x)] at x = x* must be negative for f(x*) to be maximum.

Stationary Points:A stationary point of a differentiable function f(x) is a point on the graph of…

Answered: If f(x) is optimal at x = x*, show that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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If f(x) is optimal at x = x*, show that the minimum of first even derivative of f(x) [i.e. f"(x)] at x = x* must be negative for f(x*) to be maximum.

If f(x) is optimal at x = x, show that the minimum of first even derivative of f(x) [i.e. f"(x)] at x = x must be negative for f(x*) to be maximum.