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(1 point) Suppose that f(x) = 3x' In(5x), > >0. (A) List all the critical points of f(x). Note: If there are no critical points,
(1 point) Suppose that f(x) = 3x' In(5x), > >0. (A) List all the critical points of f(x). Note: If there are no critical points, enter 'NONE". (B) Find all intervals (separated by commas if more than one) where f(@) is increasing. Pay attention to endpoints! Note: Use "INF for DO, "-INF for -oo, and use 'U" for the union symbol. If there is no interval, enter 'NONE. Increasing: (C) Find all intervals (separated by commas if more than one) where f(@ ) is decreasing. Pay attention to endpoints! Decreasing: (D) List the x values of all local maxima of f(@ ). If there are no local maxima, enter 'NONE. T. values of local maxima = (E) List the x values of all local minima of f(x). If there are no local minima, enter 'NONE' in values of local minima = (F) Find all intervals where f(@:) is concave up. Concave up: (G) Find all intervals where f(x) is concave down, Concave down
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