SOLUTION: Determine the values of the constants a and b so that the function f ( x )= x3 + ax2 + bx + 5 may have a relative maximum at x= -3 and a relative minimum at x= 1
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Question 1113064: Determine the values of the constants a and b so that the function f ( x )= x3 + ax2 + bx + 5 may have a relative maximum at x= -3 and a relative minimum at x= 1
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
f ( x )= x^3 + ax^2 + bx + 5
f'(x) = 3x^2 + 2ax + b
The derivative is 0 where there are maxima or minima -- at x=-3 and x=1:
The function is f(x) = x^3 + 3x^2 - 9x + 5. A graph:
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