Q. Mark the following statements as true/false. Check to evaluate and then click at explanation to see the answer. |
| Sr.No |
Quiz |
Options |
Correct Answers |
Reasoning |
1.
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Let  be a differentiable function such that  and  for  and  for  . Then  and  .
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True
False
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2.
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Both functions  and  have local extreme at  . |
True
False
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3.
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Let  be such that both have a relative maximum at  . Then  also has a local maximum at  .
|
True
False
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4.
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Let  be such that both have a local minimum at  . Then  also has a local minimum at  .
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True
False
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5.
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Let  be such that both  have a local maximum at  . Then  also has a local maximum at  .
|
True
False
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6.
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Let
Then the 2nd derivative test can be applied to  to deduce it has local minimum at  . |
True
False
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7.
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Let  . Then the second derivative test can be applied to  to deduce that  has local minimum at  .
|
True
False
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8.
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Let 
Then the first derivative test applies to  and hence it has a local maximum at  . |
True
False
|
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