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Manipal MET2018MathematicsDifferentiation

If f(x)= x- x , then f^ ( 6 ) is equal to

Options

  1. A-3
  2. B14/3
  3. C11/3
  4. D5

Correct answer

B. 14/3

Step-by-step solution

Given, f(x)= x- x f^ (x)= x x+ cosec ^2 x aligned f^ ( 6 ) & = 6 6 + cosec ^2 6 & = 2 3 1 3 +4= 14 3 aligned

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