Prove that for all a, b e R, the function f(x) = 3x - 4x³ + 6x² + ax + b has exactly one point where derivative becomes zero.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Prove that for all a, b e R, the function f(x) = 3x² - 4x³ + 6x²
+ ax + b has exactly one point where derivative becomes zero.
Transcribed Image Text:Prove that for all a, b e R, the function f(x) = 3x² - 4x³ + 6x² + ax + b has exactly one point where derivative becomes zero.
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