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In the procedure for finding intervals, which conclusion is correct when \[f'(x)<0\]?

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Question

In the procedure for finding intervals, which conclusion is correct when \[f'(x)<0\]?

Options

  • \[f\] is constant.

  • \[f\] is strictly increasing.

  • \[f\] is increasing.

  • \[f\] is decreasing.

MCQ
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Solution

A negative derivative indicates that the output decreases as the input increases. Therefore \[f\] is decreasing on that interval.

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