Please solve rd sharma class 12 Chapter 17 Maxima and Minima excercise 17.3 part 1 question 9 maths textbook solution
Answer:
Point of local maxima value is and it’s local maximum value is
Also point of local minima is a and it’s local minimum value is 0.
Hint:
First find critical values of f(x) by solving f'(x) =0 then find f''(x).
If then
is point of local minima.
If then
is point of local maxima .
where &
are critical points.
Put and
in f(x) to get minimum value & maximum value.
Given:
Explanation:
We have,
For maxima and minima f’(x) =0
At x= a,
So, x=a is point of local minima
Now at x=a,
Also, at
Thus, point of local maxima is & its max. value is
& point of local minima is 9 & its value is 0.