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MHT CET202310 May 2023Evening ShiftMathematicsDifferentiationActual

If x=3 t and y=3 t , then the value of d ^2 y ~d x^2 at t = 4 is

Options

  1. A-1 6 2
  2. B1 6 2
  3. C1 3 2
  4. D3 2 2

Correct answer

B. 1 6 2

Step-by-step solution

aligned & x=3 t & d x dt =3 ^2 t & y=3 t & d y dt =3 t t & Now, d y ~d x = d y dt d x dt = 3 tan t 3 ^2 t = t & d ^2 y ~d x^2 = d dt ( t ) dt d x & = t 1 3 ^2 t & d ^2 y ~d x^2 = ^3 t 3 & ( d ^2 y ~d x^2 )_ ( t = 4 ) = ( 4 )^3 3 = 1 6 2 & aligned

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