यदि f'(x) = g(x) और g'(x) = f(x2) है, तब f"(x2) का माना बराबर है 

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  1. g(x2)
  2. f(x4)
  3. f(x3)
  4. g(x4)

Answer (Detailed Solution Below)

Option 2 : f(x4)
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यदि f'(x) = g(x) और g'(x) = f(x2) है, तब f"(x2

दिया गया है f’(x) = g(x)

x के सन्दर्भ में पृथक्करण से हमें प्राप्त होता है

f’’(x) = g’(x)

f’’(x) = f(x2

फलन को xसे गुणा करने पर

f’’(x2) = f(x4)
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