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In the question shown in the attachment can zero also be a local maximal?

 In the question shown in the attachment can zero also be a local maximal?

Question Image
Grade:12th pass

1 Answers

Srutarshi Tripathi
38 Points
one year ago
No.0 is not a local Maxima. The only local maxima is at x=2 and local minima is at x=3.It can be found in this way:
Applying first deivative test, f’(x)=0 or, x=3,2
Applying second derivative test, we get that local maxima is at x=2 and local minima is at x=3

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