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A: Note: as per guidelines we support only three subparts of the questions.kindly repost next…
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- What values of a and b make ƒ(x) = x3 + ax2 + bx have a local maximum at x = -1 and a local minimum at x = 3?What values of a and b make ƒ(x) = x3 + ax2 + bx have a. a local maximum at x = -1 and a local minimum at x = 3? b. a local minimum at x = 4 and a point of inflection at x = 1?What values of a and b make ƒ(x) = x3 + ax2 + bx have a local minimum at x = 4 and a point of inflection at x = 1?
- From the function f(x)= x3 -6x2 +9x -3Determines monotony, maximum and minimum points, inflection and concavitiesAt what x-value is the global minimum for f(x)=x2−4x+3 within the interval 0≤x≤5?2. Give an example showing that, even if f0(c) = 0, it could happen that f(x) does not have a localmaximum or minimum at x = c. How is this consistent with Fermat’s Theorem in the book?