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giggles123
 3 years ago
let f(x)=ax^3+6x^2+bx+4. Determine the constant a and b such that f has a relative min at x=1 and a rel max at x=2@Algebra
giggles123
 3 years ago
let f(x)=ax^3+6x^2+bx+4. Determine the constant a and b such that f has a relative min at x=1 and a rel max at x=2@Algebra

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moneybird
 3 years ago
Best ResponseYou've already chosen the best response.2first derivative of f(x) first

giggles123
 3 years ago
Best ResponseYou've already chosen the best response.0I did that then what? I got F'(x)=3ax^2+12x+b

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1\[f'(x)=3a^2+12x+b\] \[f'(1)=0 ;f'(2)=0\]

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1\[f'(x)=3ax^2+12x+b*\]

Hero
 3 years ago
Best ResponseYou've already chosen the best response.0I was just about to say....what happened to the x?

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1\[f'(2)=3a(4)+12(2)+b=0\]

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1\[3a+b=12\] \[12a+b=24\]

moneybird
 3 years ago
Best ResponseYou've already chosen the best response.23a + b =12 12a + 24 +b = 0 12a + b =24 (3a + b) = 12 9a = 36 a = 4 b =24

giggles123
 3 years ago
Best ResponseYou've already chosen the best response.0what happened to the x?

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1\[ 3a+b=12\] \[(12a+b=24)\]  9a+0b=36 9a=36 a=4 12+b=12 b=24 gj money

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1what do you mean what happen to x?

giggles123
 3 years ago
Best ResponseYou've already chosen the best response.0how did you go from f'(x)=3ax^2+12x+b* to f′(−1)=3a−12+b=0

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1\[f(a)=4x^3+6x^2+24x+4\]

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.11 and 2 are critical numbers this is a polynomial so our critical numbers only exist when f'=0

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1money and i applied these conditions to f'

giggles123
 3 years ago
Best ResponseYou've already chosen the best response.0I got it. Thank you so much!

luckey
 3 years ago
Best ResponseYou've already chosen the best response.0here b can take any value and a is rrestricted to any value in the interval (2,2)
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