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AP EAMCET2003MathematicsDifferentiation

If f(x)= x 1+|x| , for x R , then f^ (0) is equal to :

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

B. 1

Step-by-step solution

We have, f(x)= x 1+|x| f^ (0)= _ h 0 f(0+h)-f(0) h = _ h 0 h 1+|h| -0 h = _ h 0 1 1+|h| =1

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