find the maximum or minimum value of the function  g(x)= 100x^2-1100x

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 87E
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find the maximum or minimum value of the function 

g(x)= 100x^2-1100x

_______

Expert Solution
Step 1

The second derivative test 

Let f(x)  be the given function and c be the critical point of f.

  • If f"(c) > 0 then f has local minimum at x= c
  • If f"(c) < 0 then f has local maximum at x= c
  • If f"(c)=0 then the test fails.

 

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