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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


A

2

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B

8

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C

16

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D

4

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Solution

The correct option is C

16


y(x)=f(f(f(f(x))).f(f(f(x))).f(f(x)).f(x)
so y(0)=f(f(f(f(0))).f(f(f(0))).f(f(0)).f(0)
=(f(0))4=24=16


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