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Classify critical points of given function as local maxima

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Reference no: EM131603957

Question: 1. (a) Show that if a is a positive constant, then x = 0 is the only critical point of f(x) = x + a√x.

(b) Use derivatives to show that f is increasing and its graph is concave down for all x > 0.

2. Find and classify the critical points of f(x) = x3(1-x)4 as local maxima and minima.

Reference no: EM131603957

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