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Minimizing & Maximizing Functions

!6!4!202!40!20020406080xx3+5*x2 Minimizing & Maximizing FunctionsExample: find the minimum of y=3x2 2x+1 Minima & maxima occur in Functions where the slope changes sign ( where the slope is zero). Local vs. Global min & max. Polynomials: we can find all min & max (global & local) General Functions : iterative procedure; may only find local Functions may have zero to many minima and , November 17, 2008 Min & Max of Functions - a cell containing the independent variable (x) a cell containing the function value at x, f(x). Tools the target cell to be f(x).

Minimizing & Maximizing Functions Example: find the minimum of y = 3x2 − 2x + 1 • Minima & maxima occur in functions where the slope changes sign (i.e. where the slope is zero). • Local vs. Global min & max. • Polynomials: we can find all min & max (global & local) • General functions: iterative procedure; may only find local min ...

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