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Derivative of Standard Functions

60. If f(0)=0...

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60. If f(0)=0,f'(0)=2 and y=f[f{f(x)}],then at x=0 find dy/dX

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y = (f (f (x)))^{3}, f (0) = 0

f^{'} (0) = 2,

{(\frac{d y}{d x})}_{x = 0}

y = f o f o f (x)

f (0) = 0, f^{'} (0) = 2

y^{'} (0)

f^{''} (x)

be continous at

x = 0

lim x \to 0 \frac{2 f (x) - 3 a f (2 x) + b f (8 x)}{{sin}^{2} x}

f (0) \neq 0, f^{'} (0) \neq 0

f (0) = f^{'} (0) = 0

f^{''} (X) = {tan}^{2} x

f (X)

f (0) = 0

f^{'} (0) = 2

then the derivative of

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

x = 0

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