JEE Mains · Maths · STD 12 - 5. continuity and differentiation
Let \( S = \{t \in R : f(x)= |x-\pi|.(e^{|x|}-1)sin|x|\) is not differentiable at \(t\,\,\}\). Then the set \(S\) is equal to :
- A \(\left\{ 0 \right\}\)
- B \(\left\{ \pi \right\}\)
- C \(\left\{ {0,\pi } \right\}\)
- D \(\emptyset \)
Answer & Solution
Correct Answer
(D) \(\emptyset \)
Step-by-step Solution
Detailed explanation
\(\left( 4 \right)\,\,\,\,\,\,\,f\left( x \right) = \left| {x - \pi } \right|\left( {{e^{\left| x \right|}} - 1} \right)\sin \left| x \right|\) Check differentibility of \(f(x)\) at \(x = \pi \) and \(x=0\) at \(x = \pi :\)…
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