MATH 1550 Chapter : Critical Points And Extrema On A B
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A number c is a critical point (a. k. a. critical number ) of a function f (x) if either f (c) = 0 or f (c) dne. Critical points and extreme values on a closed interval: h(p) = p 1 p2 + 4, f (x) = x1/3 x 2/3, g( ) = 4 tan( ) for 0 2 . Critical points and extreme values on a closed interval: h(t) = 3t arcsin(t) for 1 t 1, f (x) = x 2 ln x, g(r) = re 2r2. Critical points and extreme values on a closed interval: f (x) = (cid:26) x3 + 12x + 1, 8x + 11, if x < 1 if 1 x: f (x) = (cid:26) x3 + 12x + 1, 5x + 7, if x < 1 if 1 x: f (x) = (cid:26) x3 + 12x + 1, Critical points and extreme values on a closed interval.
