The correct option is B Neither max nor min is true f'(x)=3x^2+27 =3(x^2+9) f'(x) gt;0 ∀ xϵ R So it has neither max amp; min ...

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Global Maxima

fx=x3+27x+5

Question

$f (x) = x^{3} + 27 x + 5$

Has a maximum

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Has a minimum

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Neither max nor min is true

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Both max and min are true

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Solution

The correct option is B Neither max nor min is true
$f^{'} (x) = 3 x^{2} + 27$
$= 3 (x^{2} + 9)$
$f^{'} (x) > 0$ $\forall x ϵ R$
So it has neither max & min

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