Suppose f is continuous on (-00, 00). (a) If f '(1) = 0 and f (1)...

 

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Suppose f" is continuous on (-00, 00). (a) If f '(1) = 0 and f "(1) = -9, what can you say about f? At x = 1, f has a local maximum. At x = 1, f has a local minimum. At x = 1, f has neither a maximum nor a minimum. More information is needed to determine if f has a maximum or minimum at x = 1. X (b) If f(3) = 0 and f "(3) = 0, what can you say about f? At x = 3, f has 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. Suppose f" is continuous on (-00, 00). (a) If f '(1) = 0 and f "(1) = -9, what can you say about f? At x = 1, f has a local maximum. At x = 1, f has a local minimum. At x = 1, f has neither a maximum nor a minimum. More information is needed to determine if f has a maximum or minimum at x = 1. X (b) If f(3) = 0 and f "(3) = 0, what can you say about f? At x = 3, f has 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.

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Conditions to find out local maximum and minimum are as follows i If fx 0 fx 0 then f has a local mi... View the full answer