Step 1
Given:
Given that function
The given interval is
To find:
we have to find the absolute maximum and absolute minimum
Step 2
Here
Differentiate (1) w.r.t.x, we get
set
but
and it also contain the critical point
Step 3
Hence, the critical points is
Now,
For
Thus, the absolute value is maximum at
Now,
For
Thus, the absolute value is minimum at
Simplifying Absolute Value Express the quantity without using absolute value.