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MHT CET202120 Sep 2021Morning ShiftMathematicsDifferentiationActual

If x=a , y=b , then [ d^2 y d x^2 ]_ = 4 =

Options

  1. A2 ( a ^2 ~b )
  2. B2 ( a ^2 ~b )
  3. C-2 2 ( b a^2 )
  4. D2 2 ( b a ^2 )

Correct answer

C. -2 2 ( b a^2 )

Step-by-step solution

aligned & x = a , y = b & dx d =- a , dx d = b & dy dx = b - a = ( - b a ) & d ^2 dx = d dx ( dy dx )= d d ( dy dx ) d dx & = d d [ ( - b 2 ) ] 1 ( dx d ) & = ( - b a ) (- cosec ^2 ) - a = ( - b a ) 1 a 1 ^3 & ( d ^2 y dx )_ = 4 = ( - b a ^2 ) [ 1 ( 4 )^3 ]= ( - b a ^2 )( 2 )^3=2 2 ( b a ^2 ) aligned

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