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Black Book Advanced Problems in MathematicsMathematicsFunctions

Let f(x) = ^6 ( x 4 ) + ^6 ( x 4 ) . If f^n(x) denotes n^ th derivative of f evaluated at x . Then which of the following hold ?

Options

  1. Af²⁰¹⁴(0) = - 3 8
  2. Bf²⁰¹⁵(0) = 3 8
  3. Cf²⁰¹⁰ ( 2 ) = 0
  4. Df²⁰¹¹ ( 2 ) = 3 8

Correct answer

A. f²⁰¹⁴(0) = - 3 8

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