Assume that all of the functions are twice differentiable and the second derivatives are never 0. (a)
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Assume that all of the functions are twice differentiable and the second derivatives are never 0.
(a) If f and t are concave upward on I, show that f + t is concave upward on I.
(b) If f is positive and concave upward on I, show that the function t(x) = f [ (x)]2 is concave upward on I.
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