Let f(x) = 2x³ - 3x² - 72x+1. 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 - 60. a. The tangent line is horizontal at the point(s) (-3,136),(4, -207). (Type an ordered pair. Use a comma to separate answers as needed.) b. The slope of the tangent line is - 60 at the point(s). (Type an ordered pair. Use a comma to separate answers as needed.)
Let f(x) = 2x³ - 3x² - 72x+1. 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 - 60. a. The tangent line is horizontal at the point(s) (-3,136),(4, -207). (Type an ordered pair. Use a comma to separate answers as needed.) b. The slope of the tangent line is - 60 at the point(s). (Type an ordered pair. Use a comma to separate answers as needed.)
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
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Transcribed Image Text:Let f(x) = 2x³ - 3x² - 72x+1.
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 - 60.
a. The tangent line is horizontal at the point(s) (-3,136), (4, -207).
(Type an ordered pair. Use a comma to separate answers as needed.)
b. The slope of the tangent line is - 60 at the point(s).
(Type an ordered pair. Use a comma to separate answers as needed.)
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