Question

Đạo hàm của hàm số \(y=f\left(f\left(f\left(x\right)\right)\right)\) đối với biến x là:

A. \(y'=f'\left(x\right).f'\left(f\left(x\right)\right)\)

B. \(y'=f'\left(x\right),f'\left(f\left(x\right)\right).f'\left(f\left(f\left(x\right)\right)\right)\)

C. \(y'=f'\left(f\left(x\right)\right).f'\left(f\left(f\left(x\right)\right)\right)\)

D. \(y'=f'\left(x\right).f'\left(f\left(f\left(x\right)\right)\right)\)

Answer 1

\(y'=f'\left(f\left(f\left(x\right)\right)\right).\left[f\left(f\left(x\right)\right)\right]'=f'\left(x\right).f'\left(f\left(x\right)\right).f'\left(f\left(f\left(x\right)\right)\right)\)