Verified answer

Let assume that

The two sides of a triangle ABC be represented as a and b

and

Let x be the angle included between the two sides a and b.

Then area of triangle ABC is given by

[ For, proof of the above result, see the attachment ]

Now, Differentiate both sides w. r. t. x, we get

For maxima or minima,

Now, from equation (1), we have

On differentiating both sides w. r. t. x, we get

Now,

Basic Concept Used :-

Let y = f(x) be a given function.

To find the maximum and minimum value, the following steps are follow :

1. Differentiate the given function.

2. For maxima or minima, put f'(x) = 0 and find critical points.

3. Then find the second derivative, i.e. f''(x).

4. Apply the critical points ( evaluated in second step ) in the second derivative.

5. Condition :-

The function f (x) is maximum when f''(x) < 0.

The function f (x) is minimum when f''(x) > 0.

Answer:

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Step-by-step explanation:

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