Derivative & Differentiability Theorems
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Introduction to Analysis › Derivative & Differentiability Theorems
Questions 1 - 1
1
Determine whether the following statement is true or false:
Let ,
,
, and
. If
and
then
.
False
True
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.