x के संबंध में 2-3x का अवकलज ज्ञात कीजिए। 

  1. 2-3x
  2. 3log 2 × 2-3x
  3. -3 × 2-3x
  4. (-3log 2) × 2-3x

Answer (Detailed Solution Below)

Option 4 : (-3log 2) × 2-3x
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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संकल्पना:

सूत्र:

log mn = n log m

 

गणना:

माना कि y = 2-3x है। 

दोनों पक्षों पर log लेने पर, हमें निम्न प्राप्त होता है 

⇒ log y = log 2-3x

⇒ log y = -3x log 2           (∵ log mn = n log m)       

⇒ log y = (-3log 2) x

x के संबंध में अवकलन करने पर

⇒  = (-3log 2) × 1

⇒  = (-3log 2)y

∴   = (-3log 2)2-3x

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