Question
Download Solution PDFयदि फलन f(x) = x2 - kx अंतराल (1, ∞) में एकदिष्टतः वर्धमान है, तो निम्नलिखित में से कौन-सा सही है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त सूत्र:
अवकलन सूत्र:
गणना:
f(x) = x2 - kx
⇒ f'(x) = 2x - k
चूँकि, f एकदिष्टतः वर्धमान है।
f'(x) > 0
⇒ 2x - k > 0
⇒ k < 2x ----(1)
चूँकि, हमारे पास 1 <x < ∞ है
⇒ 2 < 2x < ∞ ----(2)
(1) और (2) से, हम प्राप्त करते हैं
k < 2
∴ सही संबंध k < 2 है।
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