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:
The constant function $straight alpha$

Solution

Let f (x) = α
∴ f ' (x) = 0
∴ there is no point at which f (x) has extreme value
⇒ f (x) has neither local maxima nor local minima.