Let f(x)=2x³+3x²-12x+7. 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 108.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Questions a -b asap plz plz plz
Let f(x)=2x³ + 3x²-12x+7.
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 108.
a. The tangent line is horizontal at the point(s)
(Type an ordered pair. Use a comma to separate answers as needed.)
b. The slope of the tangent line is 108 at the point(s)
(Type an ordered pair. Use a comma to separate answers as needed.)
Transcribed Image Text:Let f(x)=2x³ + 3x²-12x+7. 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 108. a. The tangent line is horizontal at the point(s) (Type an ordered pair. Use a comma to separate answers as needed.) b. The slope of the tangent line is 108 at the point(s) (Type an ordered pair. Use a comma to separate answers as needed.)
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