Question

f(0)=0,f'(0)=2 then the derivative of y=f(f(f(f(X)))) at X=0 is
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Answer 1

Answer:

x=z%2

then

we can deriveriiate

the 2/0 and f/0

then we got the answer

5

hope it's helpful to you. have a great day

Answer 2

$\huge\boxed{\mathfrak{\red{\fcolorbox{red}{pink}{Question}}}}$

f(0)=0,f'(0)=2 then the derivative of y=f(f(f(f(X)))) at X=0 is

$\huge\underline\bold \red {♡AnswEr♡}$

y=f(f(f(f(x))))

Thus using chain rule

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)f ′ (0)

=(f ′ (0)) 4 =24 =16

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