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AP EAMCET202317 May 2023Morning ShiftMathematicsApplication of DerivativesActual

The ordinates of the points on the curve y= ⁻¹( x ), 0 x 8 ^2 , at which the tangent is parallel to x -axis are

Options

  1. A3
  2. B6
  3. C4
  4. D2

Correct answer

C. 4

Step-by-step solution

aligned & y= ⁻¹( x ) & y= x ^2 y d y d x = 1 x 1 2 x & d y d x = x 2 x ^2 y aligned Tangent is parallel to x -axis aligned & d y d x x 2 x ^2 y =0 & x =0 x = 2 & x= ^2 4 x = 2 x = 1 & y= ⁻¹( x )= 4 aligned

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