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Application Of Derivatives

Question

Find the local maxima or local minima, if any, of following functions using the first derivative test only. Find also the local maximum and the local minimum values, as the case may be:
$cosx comma space space 0 space less than space straight x space less than straight pi$

Solution

Let f (x) = cos x
∴ '(x) = – sin x
Now f ' (x) ≠ 0 for any x ∊ (0, $straight pi$ )
∴ given function has no extreme points