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Question

If f(0)=0,f(0)=2, then the derivative of y=f(f(f(f(x))) at x=0 is,
  1. 2
  2. 8
  3. 16
  4. 4


Solution

The correct option is C 16
y=f(f(f(f(x)))y=f(f(f(f(x))))f(f(f(x)))f(f(x))f(x)
Putting x=0
y=f(f(f(f(0))))f(f(f(0)))f(f(0))f(0)y=f(0)f(0)f(0)f(0)y=24=16

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