Let f(x) = 2x³-9x² - 24x+2. a. Find all points on the graph of f(x) at which the tangent line is horizontal. b. Find all points on the graph of f(x) at which the tangent line has slope 144.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.6: Absolute Value Functions
Problem 11SE: For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. 11....
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Let f(x) = 2x³-9x²-24x+2.
a. Find all points on the graph of f(x) at which the tangent line is horizontal.
b. Find all points on the graph of f(x) at which the tangent line has slope 144.
Transcribed Image Text:Let f(x) = 2x³-9x²-24x+2. a. Find all points on the graph of f(x) at which the tangent line is horizontal. b. Find all points on the graph of f(x) at which the tangent line has slope 144.
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