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MHT CET202314 May 2023Evening ShiftMathematicsDifferentiationActual

If f ^ (x)= ( x) and y= f ( 2 x+3 3-2 x ) , then d y ~d x at x=1 is

Options

  1. A6 ( 5)
  2. B5 ( 6)
  3. C12 ( 5)
  4. D5 ( 12)

Correct answer

C. 12 ( 5)

Step-by-step solution

aligned & y= f ( 2 x+3 3-2 x ) & d y ~d x = f ^ ( 2 x+3 3-2 x ) d d x ( 2 x+3 3-2 x ) & = f ^ ( 2 x+3 3-2 x ) (3-2 x) 2-(2 x+3)(-2) (3-2 x)^2 & = [ ( 2 x+3 3-2 x ) ] 12 (3-2 x)^2 & ( d y ~d x )_ x=1 = ( 5) 12=12 ( 5) & aligned

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