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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) be a polynomial in x . The second derivative of f(e^x) w.r.t. x is :

Options

  1. Af''(e^x)e^x + f'(e^x)
  2. Bf''(e^x)e^ 2x + f'(e^x)e^ 2x
  3. Cf''(e^x)e^x + f'(e^x)e^ 2x
  4. Df''(e^x)e^ 2x + e^x f'(e^x)

Correct answer

D. f''(e^x)e^ 2x + e^x f'(e^x)

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