Q.

If f(0)=0,fI(0)=2 then the derivative of y=f(f(f(f(x)))) at x=0 is

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a

2

b

6

c

16

d

4

answer is C.

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Detailed Solution

y′(x)=f′(f(f(f(x))))⋅f′(f(f(x)))f′(f(x))f′(x) y′(0)=f′(f(f(f(0))))⋅f′(f(f(0)))f′(f(0))f′(0)=f′(f(f(0)))f′(f(0))f′(0)⋅2=f′(f(0))f′(0)⋅f′(o)⋅2=f′(0)⋅2.2⋅2=2.2.2.2=16
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Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
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