Need Solution for R.D.Sharma Maths Class 12 Chapter 9 Differentiability Exercise 9.2 Question 12 Maths Textbook Solution.
Answer: is not differentiable at
and
is differentiable everywhere.
Hint:
Check LHD at is equal to RHD at
or not for
is even and
is odd respect for the function
Given:
Given functions are and
.
Solution:
Let
Case 1
For (Where
is even)
LHD at
LHD at … (i)
RHD at
RHD at ....(iii)
From(i) and (ii)
LHD at
Case II
For (Where
is odd)
LHD at
RHD at .....(iv)
From (iii) and (iv)
LHD at
Thus, is not differentiable at
Now we need to check is differentiable or not
Let,
is differentiable everywhere.