Question
Download Solution PDFउस अंतराल को ज्ञात कीजिए जिसमें फलन f(x) = x2 - 2x निरंतर वर्धमान फलन है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
यदि प्रत्येक बिंदु पर f′(x) > 0 एक अंतराल में है तो फलन को निरंतर वर्धमान फलन कहा जाता है।
गणना:
दिया गया है, f(x) = x2 - 2x
अवकलन करने पर, हमें निम्न प्राप्त होता है
f'(x) = 2x - 2
f(x) निरंतर वर्धमान फलन है।
∴ f'(x) > 0
⇒ 2x - 2> 0
⇒ x > 1
∴ x ∈ (1, ∞)
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