If f'(x) = g(x) and g'(x) = f(x2), then f"(x2) is equal to

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UP TGT Mathematics 2019 Official Paper
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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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Detailed Solution

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f'(x) = g(x) and g’(x) = f(x2), then f’’(x2)

given f’(x) = g(x)

Differentiating w.r.t x we get

f’’(x) = g’(x)

f’’(x) = f(x2)

multiply the function with x2

f’’(x2) = f(x4)
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