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Image attached . Find condition that equation shown in image has local minima at certain x belonging to R-

 
Image attached . 
Find condition that equation shown in image has
local minima at certain x belonging to R-

Question Image
Grade:12

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
7 years ago
f’(x)= 3x2+ 2ax+ b

this eqauation will have real roots means there will be a local minima if d>=0

d= a2– 12 b=0 or greater than 0

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