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NDA2018MathematicsContinuity and DifferentiabilityActual

If f ( x )= 25- x ^2 , then what is _ x 1 f ( x )- f (1) x -1 equal to

Options

  1. A- 1 24
  2. B1 24
  3. C- 1 4 3
  4. D1 4 3

Correct answer

A. - 1 24

Step-by-step solution

_ x 1 f(x)-f(1) x-1 =f^ (x) Now, f^ (x)= -2 x 2 25-x^2 = -x 25-x^2 f^ (1)= -1 25-1 = -1 24

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