Question
Download Solution PDFf(x) =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFধারণা:
ল্যাগ্রেঞ্জের গড় মান উপপাদ্য:
যদি একটি ফাংশন f বদ্ধ ব্যবধানে সংজ্ঞায়িত করা হয় [a, b] সন্তোষজনক:
- ফাংশন f বন্ধ ব্যবধানে অবিচ্ছিন্ন [a, b]
- ফাংশন f খোলা ব্যবধানে পার্থক্যমূলক (a, b)
তাহলে, x এর একটি মান আছে = c যেমন f'(c) =
গণনা:
প্রদত্ত ফাংশন f(x) =
f'(x) =
গড় মান উপপাদ্য দ্বারা, একটি c ∈ [1, 3] বিদ্যমান, যেমন:
f'(c) =
⇒
⇒
⇒
⇒
⇒ c = √3
Last updated on Jun 30, 2025
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