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COMEDK2018MathematicsApplication of Derivatives

The subtangent at x= / 2 on the curve y=x x is

Options

  1. A0
  2. B1
  3. C/ 2
  4. DNone of these

Correct answer

C. / 2

Step-by-step solution

Given, curve is y=x x At x= 2 , we have y= 2 Slope of the tangent at x= 2 From Eq. (i), we get aligned d y d x &= x+x x d y d x &=1 at 2 aligned Now, equation of tangent will be aligned &x- 2 =y- 2 & x=y aligned This will intersect X -axis at (0,0) . So, the subtangent will be = 2 -0= 2

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