Question: 3. (10 points) Consider the function g(I) = exp e-212 dt (a) [7 points] Find the critical point of g(c). Explain why there is only

3. (10 points) Consider the function g(I) = exp e-212 dt

3. (10 points) Consider the function g(I) = exp e-212 dt (a) [7 points] Find the critical point of g(c). Explain why there is only one critical point. (b) [3 points] Is this critical point a maximum, a minimum or a point of inflection? Justify your answer. Hint: Think about the sign of g'(x) either side of the critical point

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