Question
Download Solution PDFThe set of all points, where the function
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- A function is differentiable at a point when there's a defined derivative at that point.
- Denominator should not be zero
- Chain Rule:
Calculation:
Given:
Now, at x = 0, f’(x) = 0/0
So, f’(x) is defined for all values of x except x = 0
⇒ f(x) is differentiable on (-∞, 0) ∪ (0, ∞)
Hence, option (3) is correct.
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