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JEE Main2007MathematicsApplication of DerivativesActual

The function f(x)= ⁻¹( x+ x) is an increasing function in

Options

  1. A( 4 , 2 )
  2. B(- 2 , 4 )
  3. C(0, 2 )
  4. D(- 2 , 2 )

Correct answer

B. (- 2 , 4 )

Step-by-step solution

f^ (x)= 1 1+( x+ x)^2 ( x- x)= 2 (x+ 4 ) 1+( x+ x)^2 f(x) is increasing if - 2 < x+ 4 < 2 - 3 4 < x < 4 hence f(x) is increasing when x (- 2 , 4 ) .

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