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।
Last updated on Jun 18, 2025
->UPSC has extended the UPSC NDA 2 Registration Date till 20th June 2025.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.