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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f₁(x) = e^x and f_ n+1 (x) = e^ f_n(x) for any n 1, n N . Then for any fixed n , the value of d dx f_n(x) equals :

Options

  1. Af_n(x)
  2. Bf_n(x) f_ n-1 (x) f₂(x) f₁(x)
  3. Cf_n(x) f_ n-1 (x)
  4. Df_n(x) f_ n-1 (x) f₂(x) f₁(x) e^x

Correct answer

B. f_n(x) f_ n-1 (x) f₂(x) f₁(x)

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