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Web solve system of equations for x and y 3. Use second derivative test for whether points are local max, min, or saddle second partial derivative test 1. Extrema relative (local) extrema x = c is a relative (or local). X = c is an absolute maximum of f ( x ) if f ( c ) 3 f ( x ) for all x in the domain. Web x!1 except we require x large and negative. Web l'hospita1' if lim lim s rule o or lim then, = lim a is a number, or lim f (x) = lim f (x) (þt lim f (x) does not exist inflection points x=c is a inflection point of f (x) if the We say lim f(x) = 1 if we can x!a make f(x) arbitrarily large (and positive) by taking x sufficiently close to a (on either side of a) without letting x = a. Find all (x,y) points such that rf. Plug back into original equation for z. X c is an absolute minimum of f x if f ( c ) £ f ( x ) for all x in the domain.
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Plug back into original equation for z. Web x!1 except we require x large and negative. Use second derivative test for whether points are local max, min, or saddle second partial derivative test 1. Web l'hospita1' if lim lim s rule o or lim then, = lim a is a number, or lim f (x) = lim f (x) (þt.
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