5 Suppose f\"is continuous on (-oo, oo) (a) If f(3) = 0 and f \"(3) = 7, what ca

Question

5

Suppose f"is continuous on (-oo, oo) (a) If f(3) = 0 and f "(3) = 7, what can you say about f? At x -3, fhas a local maximum. At x - 3, f has a local minimum At x - 3, f has neither a maximum nor a minimum More information is needed to determine if f has a maximum or minimum at x 3. (l)) if (4):0 and "(4):, whai a you say aboui: ? At x = 4, f has a local maximum. At x-4, f has a local minimum. At x - 4, f has neither a maximum nor a minimum (e) More information is needed to determine if f has a maximum or minimum at x = 4.

Explanation / Answer

a) since the first derivative f'(3)=0 . And second derivative at x=3 i.e f''(3) = 7 which is greater than zero.

So at x=3 , there is local minima.

So option B.

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