Suppose that f(x) = 6x² In(x), x > 0. (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. 0.607 (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for co, '-INF' for -∞, and use 'U' for the union symbol. If there is no interval, enter 'NONE'. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the x values of all local maxima of f(x). If there are no local maxima, enter 'NONE'. x values of local maximums = (E) List the x values of all local minima of f(x). If there are no local minima, enter 'NONE'. x values of local minimums = 0.607 (F) Use interval notation to indicate where f(x) is concave up. Concave up: (G) Use interval notation to indicate where f(x) is concave down. Concave down: (H) List the x values of all the inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points =

Suppose that f(x) = 6x² In(x), x > 0. (A) List all the critical values of f(x). Note: If there are no critical values, enter 'NONE'. 0.607 (B) Use interval notation to indicate where f(x) is increasing. Note: Use 'INF' for co, '-INF' for -∞, and use 'U' for the union symbol. If there is no interval, enter 'NONE'. Increasing: (C) Use interval notation to indicate where f(x) is decreasing. Decreasing: (D) List the x values of all local maxima of f(x). If there are no local maxima, enter 'NONE'. x values of local maximums = (E) List the x values of all local minima of f(x). If there are no local minima, enter 'NONE'. x values of local minimums = 0.607 (F) Use interval notation to indicate where f(x) is concave up. Concave up: (G) Use interval notation to indicate where f(x) is concave down. Concave down: (H) List the x values of all the inflection points of f. If there are no inflection points, enter 'NONE'. x values of inflection points =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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