Question
Download Solution PDFउन सभी बिन्दुओं का समुच्चय, जहाँ फलन
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
- एक फलन को उस बिंदु पर तब अवकलनीय कहा जाता है जब वहां उस बिंदु पर एक परिभाषित अवकलज होता है।
- हर शून्य नहीं होना चाहिए।
- श्रृंखला नियम:
गणना:
दिया गया है:
अब, x = 0 पर, f’(x) = 0/0
इसलिए, x = 0 पर छोड़कर f’(x), x के सभी मानों के लिए परिभाषित है।
⇒ f(x), (-∞, 0) ∪ (0, ∞) पर अवकलनीय है।
अतः विकल्प (3) सही है।
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