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AP EAMCET202018 Sep 2020Morning ShiftMathematicsDifferentiationActual

If (f(x)= x+2 2 x-4 + x-2 2 x-4 ), then the value of (10 f^ (102)= )

Options

  1. A1
  2. B2
  3. C102
  4. D-1

Correct answer

A. 1

Step-by-step solution

Given, ( aligned f(x)= & x+2 2 x-4 + x-2 2 x-4 = & (x-2)+2+2 2 x-2 & + (x-2)+2-2 2 x-2 & =| x-2 + 2 |+| x-2 - 2 | aligned ) for (x 4 ) ( aligned f(x) & = x-2 + 2 + x-2 - 2 =2 x-2 & f^ (x)= 1 x-2 aligned ) So, (10 f^ (102)=10 1 102-2 =1 )

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