The function f(x) = x^3 + ax˛ + bx has a local minimum at x=3 and a point of inflection at x = -1. Find the values of a and b. I don't even know where to begin on this problem; any help is appreciated.
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Originally Posted by h4hv4hd4si4n The function f(x) = x^3 + ax˛ + bx has a local minimum at x=3 and a point of inflection at x = -1. Find the values of a and b. I don't even know where to begin on this problem; any help is appreciated. The condition for an extremal point is f'(x) = 0 and the condition for a point of inflection is f''(x) = 0 Plug in the values you know: Solve this system of simultaneous equations for a and b.
I got a = 3 and b = -45 is that correct?
Originally Posted by h4hv4hd4si4n I got a = 3 and b = -45 is that correct? I've got the same result.
thanks for your help
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