Introduction to Analysis : Derivative & Differentiability Theorems

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Example Questions

Example Question #1 : Derivative & Differentiability Theorems

Determine whether the following statement is true or false:

Let , and . If  and  then .

Possible Answers:

False

True

Correct answer:

False

Explanation:

Determine this statement is false by showing a contradiction when actual values are used.

Let 

First make sure the inequalities hold true.

 

and

Now find the products.

Therefore, the statement is false.

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