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MHT CET202020 Oct 2020Evening ShiftMathematicsDifferentiationActual

If y=2^ a x and ( d y d x )_ x=1 = 256 , then a=

Options

  1. A4
  2. B2
  3. C8
  4. D3

Correct answer

B. 2

Step-by-step solution

y=2^ 2 x d y d x =2^ 2 x ( 2)(a) ( d y d x )_ x=1 = (2^ a )(a)( 2) As per condition given (2^ a )(a)( 2)= 256= (2)⁸=8 2 (2^ a )(a)=8 a=2

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