Question
Download Solution PDFযদি ফাংশন f(x) = x2 - kx ব্যবধানে একঘেয়েভাবে বৃদ্ধি পায় (1, ∞), তাহলে নীচের কোনটি সঠিক?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFঅনুসৃত সূত্র:
পার্থক্য সূত্র:
\(\rm \frac{d}{dx} x^{n} = nx^{n-1}\)
গণনা:
f(x) = x2 - kx
⇒ f ' (x) = 2x - k
যেহেতু, f একঘেয়েভাবে বাড়ছে।
f ' (x) > 0
⇒ 2x - k > 0
⇒ k < 2x ----(1)
যেহেতু, আমাদের 1 < x < ∞ আছে
⇒ 2 < 2x < ∞ ----(2)
(1) এবং (2) থেকে পাই,
k < 2
∴ সঠিক সম্পর্কটি হল k < 2
Last updated on Jun 18, 2025
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