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KCET2017MathematicsComplex Number

If ( y= ⁻¹ ( x+ x x- x ) ), then ( d y d x ) is equal to

Options

  1. A( 1 / 2 )
  2. B/ 4
  3. C( 00 )
  4. D( 11 )

Correct answer

D. ( 11 )

Step-by-step solution

Given that, ( y= ⁻¹ ( x+ x x- x ) ) ( = ⁻¹ ( x x + x x x x - x x )= ⁻¹ ( x+1 1- x ) ) ( = ⁻¹ ( 4 +x ) = I 4 +x ) ( y= I 4 +x ) So, ( d y d x =0+1=1 )

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