The function f is defined by: In(4x) + 6 for all x 2 0. Which is the following is the stationary point of this function? Select one or more: O a. 4 O b. None of the rest O c. 3 O d. 9 O e. 16 Find the stationary points of the following function: f(x) = 2x4 - 6x3 - 60x2 + 10 Which of the following is the value of x at a local maximum for f(x)? Select one or more: O a. 5 O b. 0 O c. 2 O d. None of the rest O e. 10 Is the condition x 2 10 necessary, sufficient, or both necessary and sufficient for 2x + 6 2 25 to be satisfied? Select one or more: a. Neither necessary nor sufficient O b. None of the rest O c. Sufficient but not necessary O d. Necessary and sufficient O e. Necessary but not sufficient Consider an interior point c of a differentiable function f(x), where the first-order condition f'(c) = 0 is satisfied. This condition is necessary for c to be an extreme point, but not sufficient. Why? Select one or more: O a. The function might not be defined at c O b. c could be a local maximum or minimum, or a point of inflection O c. There will always be higher and lower points than c O d. c could be a boundary point O e. None of the rest