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MHT CET202124 Sep 2021Morning ShiftMathematicsDifferentiationActual

The derivative of the function ⁻¹[ 2 x]^ 1 / 2 at x= / 6 is

Options

  1. A( 1 3 )^ 1 / 2
  2. B( 2 3 )^ 1 / 2
  3. C( 3 2 )^ 1 / 2
  4. D(3)^ 1 / 2

Correct answer

B. ( 2 3 )^ 1 / 2

Step-by-step solution

aligned & f(x)= ⁻¹ [( 2 x)^ 1 2 ]= ⁻¹( 2 x ) & f^ (x)= -1 1+( 2 x )^2 d d x ( 2 x ) & = -1 1+ 2 x 1 2 2 x (-2 2 x)= 2 2 x 2(1+ 2 x) 2 x & [f^ (x) ]_ x= 6 = ( 3 ) (1+ 3 ) 3 = ( 2 3 )^ 1 2 aligned

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