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State whether the following statement is true or false. If f'(x) > 0 for all x ∈ (a, b) then f(x) is decreasing function in the interval (a, b).

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Question

State whether the following statement is true or false.

If f'(x) > 0 for all x ∈ (a, b) then f(x) is decreasing function in the interval (a, b).

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

If f"(x) > 0 for all x ∈ (a, b), then f(x) is decreasing function in the interval (a, b).

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2021-2022 (March) Set 1

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