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1)

For xϵ(0,14), if the derivative of  tan1(6xx19x3) is √x .g(x), then g(x) equals 


A) 91+9x3

B) 3xx19x3

C) 3x19x3

D) 319x3

Answer:

Option A

Explanation:

Let y= tan1(6xx19x3)

         = tan1(2.(3x32)1(3x32)2]

2tan1(3x32)

                             [2tan1x=tan12x1x2]

  dydx=2.11+(3x32)2.3×32x12

   = 91+9x3.x

  g(x) = 91+9x3