JEE Mains · Maths · STD 12 - 5. continuity and differentiation
The function \(f(x)=\left|x^{2}-2 x-3\right| \cdot e^{\left|9 x^{2}-12 x+4\right|}\) is not differentiable at exactly :
- A four points
- B three points
- C two points
- D one point
Answer & Solution
Correct Answer
(C) two points
Step-by-step Solution
Detailed explanation
\(f(x)=|(x-3)(x+1)| \cdot e^{(3 x-2)^{2}}\) \(f(x)= (x-3)(x+1) \cdot e^{(3 x-2)^{2}} ; \quad x \in(3, \infty)\) \(\quad\quad\quad-(x-3)(x+1) \cdot e^{(3 x-2)^{2}} ; \quad x \in[-1,3]\) \(\quad\quad\quad(x-3) \cdot(x+1) \cdot e^{(3 x-2)^{2}} \quad ; x \in(-\infty,-1)\) Clearly,…
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