9) (1) Consider the function (a) Find all critical points of the function. (b) Use part (a) to find all local max/min points of the function. (c) State where the function is increasing / decreasing. f(x) = x² - 4x³ (d) Find all points of inflection (e) State where the function is concave up/ concave down. (f) Sketch a graph of this function. Be sure to label all intercepts, local mins/maxes, inflection points. F(X)= X4-4X³
9) (1) Consider the function (a) Find all critical points of the function. (b) Use part (a) to find all local max/min points of the function. (c) State where the function is increasing / decreasing. f(x) = x² - 4x³ (d) Find all points of inflection (e) State where the function is concave up/ concave down. (f) Sketch a graph of this function. Be sure to label all intercepts, local mins/maxes, inflection points. F(X)= X4-4X³
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.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 22E
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