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Explain Solution R.D.Sharma Class 12 Chapter 9 Differentiability  Exercise 9.2 Question 10 Maths Textbook Solution.

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Answer: Not differentiable at x = 0

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

Given: f\left ( x \right )=e^{|x|}

Solution:

We know that exponential function is always continuous. So, the given function is continuous. Consider the graph of the given function.

Using graph of the function, it is clear that f(x) is not differentiable at x = 0 but continuous for all x.

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