1. Find answers that meet the first-order optimization conditions, identify the shape of the function graph...

1. Find answers that meet the first-order optimization conditions, identify the shape of the function graph to determine whether these answers are maximum value or minimal value.

(a) f(x) = e^x + e^-x

(b) f(x) = x^3/(x+1)

(c) f(x) = x/lnx

2. Find answers that meet the second-order optimization conditions, and determine whether these answers are maximum value or minimal value.

(a) f(x) = e^x + e^-x

(b) f(x) = x^3/(x+1)

(c) f(x) = x/lnx

3. Determine whether each function is concave or convex. If the entire function is not concave or convex, look for concave and convex sections.

Expert Solution

milcah answered 2 years ago

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Optimization Technique: Consider one-variable function f(x). Use Newton Method to find minimum/maximum and plot the graph. Use Matlab.

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