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Explain Solution R.D.Sharma Class 12 Chapter 9 Differentiability  Exercise 9.2 Question 9 Maths Textbook Solution.

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Answer: Function is differentiable at x = 0 & not differentiable at x = -2

Hint:  Using graphical approach, we can observe that modulus function has more than one slope possible.

Given: f\left ( x \right )=|log|x||

Solution:

The given function is absolute function. So it is continuous. Consider the graph of the given function.

                                        

Using graphs of the function, we can observe that the function f(x) is not differentiable at x= --1 and x = 1 but continuous for all x expect 0

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