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– x* – 6x2 + 5x + 12 , use either the First Derivative Test OR the Given the function f(x) = Second Derivative Test to find and classify all the critical points of the function. Round your critical values to one decimal place. | Say which test you are using!!! full

– x* – 6x2 + 5x + 12 , use either the First Derivative Test OR the Given the function f(x) = Second Derivative Test to find and classify all the critical points of the function. Round your critical values to one decimal place. | Say which test you are using!!! full

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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use the second derivative steps below 

- x° – 6x? + 5x + 12 , use either the First Derivative Test OR the Given the function f(x) = Second Derivative Test to find and classify all the critical points of the function. Round your critical values to one decimal place. O Say which test you are using!!! E To get full credit for this you should follow the guidelines given in these documents: o Showing the First Derivative Test o Showing the Second Derivative Test 2
Transcribed Image Text:- x° – 6x? + 5x + 12 , use either the First Derivative Test OR the Given the function f(x) = Second Derivative Test to find and classify all the critical points of the function. Round your critical values to one decimal place. O Say which test you are using!!! E To get full credit for this you should follow the guidelines given in these documents: o Showing the First Derivative Test o Showing the Second Derivative Test 2
frx) =X-7x² H4x+8 Show the first deriviative f(x)= 3x²-14X+14 3x²-14x+14=0 a =3, b=-14 C=14 Show how you find the critical points using algebra x= 14± (-14 -4(3)(14) 2(3) 14 I N28 critical porints ñ 3.2, 1.5 f"x)= 6x-14 Show the second deriviative f"(3.2)= 6(3.2)14= 5.220 f"(3,2) 20 means fro is con caNe up at 3.2 so 3.2 is a local' min. Show you evaluate the second derivative at each critical point and how it tells you if you have a max, min, or neither. f"(1.5)=6(1.5)–14 = -5 SO f"(1.5)20 means f(x) IS concave down at x=15 So l.5 is a 1ocal max, State the final Ans: x=3.2 is a local min eanswer X= 1.5 is a local max
Transcribed Image Text:frx) =X-7x² H4x+8 Show the first deriviative f(x)= 3x²-14X+14 3x²-14x+14=0 a =3, b=-14 C=14 Show how you find the critical points using algebra x= 14± (-14 -4(3)(14) 2(3) 14 I N28 critical porints ñ 3.2, 1.5 f"x)= 6x-14 Show the second deriviative f"(3.2)= 6(3.2)14= 5.220 f"(3,2) 20 means fro is con caNe up at 3.2 so 3.2 is a local' min. Show you evaluate the second derivative at each critical point and how it tells you if you have a max, min, or neither. f"(1.5)=6(1.5)–14 = -5 SO f"(1.5)20 means f(x) IS concave down at x=15 So l.5 is a 1ocal max, State the final Ans: x=3.2 is a local min eanswer X= 1.5 is a local max
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