maximization
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Examples forOptimization

Global Optimization

Find global extrema:

extrema (-4 x + x^2) e^(-x^2)

Minimize or maximize a function:

minimize x^4-x
maximize x(1-x)e^x

Minimize or maximize a function of several variables:

maximize 5 + 3x - 4y - x^2 + x y - y^2
minimize (4 - x^2 - 2y^2)^2

Constrained Optimization

Minimize or maximize a function subject to a constraint:

minimize x^5 - 3x^4 + 5 over [0,4]
maximize e^x sin y on x^2+y^2=1
maximize xyz in x^2+2y^2+3z^2<=1

Local Extrema

Find local minima or maxima:

local maxima x^5 - 10x^3 + 30x
local minima x^2/40 + cos(x) + 1
local extrema sin x^2

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