4. If f(c)=0 then f has a local extremum at c. 5. A function that is continuous on a closed interval attains an absolute maximum value and an absolute minimum value at numbers in that interval. 6. The second derivative test can decide whether a critical point of f(x,y) under the constraint g(x.y)=1 is a maximum.

4. If f(c)=0 then f has a local extremum at c. 5. A function that is continuous on a closed interval attains an absolute maximum value and an absolute minimum value at numbers in that interval. 6. The second derivative test can decide whether a critical point of f(x,y) under the constraint g(x.y)=1 is a maximum.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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