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Manipal MET2013MathematicsApplication of Derivatives

The value P such that the length of subtangent and subnormal is equal for the curve y=e^ P x +P x at the point (0,1) is

Options

  1. AP= 1
  2. BP= 2
  3. CP= 1 2
  4. DNone of these

Correct answer

C. P= 1 2

Step-by-step solution

d y d x =P e^ p x +P ( d y d x )_ (0,1) =2 P Subtangent = |y d x d y | , subnormal = |y d y d x | Given; Subtangent = Subnormal d y d x = 1 2 p= 1 p= 1 2

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