Provide solution RD Sharma maths class 12 chapter Maxima and Minima exercise 17.2 question 10 maths textbook solution
Answer:
and
is the point of local maxima and local minima respectively. The value of
local maxima and local minima is respectively.
Hint:
Use first derivative test to find the point and value of local maxima or local minima.
Given:
Solution:
Differentiating with respect to ‘x’ then,
By first derivative test, for local maxima and local minima ,we have
- + -
-∞
∞
since changes from +ve to –ve when
increases through
.
So, is the point of local maxima
The value of local maxima of at
is
Again since changes from –ve to +ve when
increases through
.
So, is the point of local minima
The value of local minima of at
is