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Maths-

General

Easy

Question

Let $f left parenthesis x right parenthesis$ be a function such that $f ´ left parenthesis a right parenthesis not equal to 0$ . Then, at $x equals a comma blank f left parenthesis x right parenthesis$

Cannot have a maximum
Cannot have a minimum
Must have neither a maximum nor a minimum
None of these

The correct answer is: None of these

For the function $f open parentheses x close parentheses equals open vertical bar x close vertical bar comma blank f ´ left parenthesis 0 right parenthesis not equal to 0$ but $f left parenthesis x right parenthesis$ has a minimum at $x equals 0$ . So, none of the options is correct

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