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AP EAMCET2012MathematicsDifferentiation

If f(x)= (x^2-1 )^7 , then f^ (14) (x) is equal to

Options

  1. A0
  2. B2 !
  3. C7 !
  4. D14 !

Correct answer

D. 14 !

Step-by-step solution

Given, f(x)= (x^2-1 )^7 When we expand above expansion it will give one term of x¹⁴ whose coefficient is 1 . f¹⁴(x)=14 !

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