COD#M1** Finding Maximum and Minimum of a function $f(x)$ using derevative emthod.

Let assume $f(x)$ is function of $x$, to find its extreme points (max and min).

Step 1: Find 1st order differentiation  of $f(x)$
Step 2: Find the roots of $f'(x) = 0$ and let assume roots are $x_1$ and $x_2$
Step 3: Find 2nd order derivative of $f(x)$
Step 4: If $f''(x_1) < 0 $ then $f(x)$ is maximum at $x_1$
            If $f''(x_1) > 0 $ then $f(x)$ is minimum at $x_1$
Step 5: Similarly check for other roots also