यदि g(x) =  है, तो g'(x) का डोमेन है:

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AAI ATC Junior Executive 27 July 2022 Shift 3 Official Paper
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  1. (-1, 1)
  2. (-∞, ∞)
  3. [-1, 1]
  4. (-∞, 1) ∪ (1, ∞)

Answer (Detailed Solution Below)

Option 3 : [-1, 1]
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संकल्पना:

लाइबनिट्ज़ समाकलन नियम,

गणना​:

दिया गया है, g(x) = 

लाइबनिट्ज़ नियम द्वारा,

g'(x) = 

⇒ g'(x) = 

⇒ g'(x) = 

यदि g'(x) परिभाषित है, तो 1 - x2 ≥ 0

⇒ x ∈ [-1, 1] 

∴ सही विकल्प (3) है।

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