Maxima And Minima

Given,



At point of maxima,

[From E (ii)]

Here, is not possible]

(given)
Now,





which is negative.
At , function
has maximum value.
Maximum value of function at point , will be

Given,

On differentiating w.r.t. ' , we get

Again, on differentiating w.r.t. ' , we get

We know that, at point of inflection

From E (iii), we get


Now, we have to check behaviour of at point

Clearly, at sign at changes
is point of inflection