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AP EAMCET20228 Jul 2022Evening ShiftMathematicsDifferentiationActual

If f(x)= |x^2-3 x+2 | , then d f d x =

Options

  1. A2 x-3 , when 1 < x < 2
  2. B3-2 x , when x>2
  3. C2 x-3 , when x>2
  4. D3+2 x , when 1 < x < 2

Correct answer

C. 2 x-3 , when x>2

Step-by-step solution

f(x)= |x^2-3 x+2 | aligned & =|(x-1)(x-2)| & = array l (x-1)(x-2) ; x < 1 and x 2 -(x-1)(x-2) ; 1 x < 2 array . aligned f(x)= array l x^2-3 x+2 ; x < 1 and x 2 -x^2+3 x-2 ; 1 x < 2 array . f^ (x)= array l 2 x-3 ; x < 1 and x 2 -2 x+3 ; 1 x < 2 array .

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