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AP EAMCET2008MathematicsApplication of Derivatives

The length of the subtangent at (2,2) to the curve x^5=2 y^4 is

Options

  1. A5 2
  2. B8 5
  3. C2 5
  4. D5 8

Correct answer

B. 8 5

Step-by-step solution

Given that, 2 y^4=x^5 On differentiating w.r.t. x , we get gathered 8 y^3 d y d x =5 x^4 ( d y d x )_ (2,2) = 5(2)^4 8(2)^3 = 5 4 Length of subtangent = y d y / d x = 2 5 / 4 = 8 5 gathered

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