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Suppose f(1) = 5 and f 0 (1) = 0. What can we conclude about the point (1, 5) if: (a) f 0 (x) <

Suppose f(1) = 5 and f 0 (1) = 0. What can we conclude about the point (1, 5) if:

(a) f 0 (x) < 0 for x < 1 and f 0 (x) > 0 for x > 1?

(b) f 0 (x) < 0 for x < 1 and f 0 (x) < 0 for x > 1?

(c) f 0 (x) > 0 for x < 1 and f 0 (x) < 0 for x > 1?

(d) f 0 (x) > 0 for x < 1 and f 0 (x) > 0 for x > 1?

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