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AP EAMCET2004MathematicsApplication of Derivatives

A point is moving on y=4-2 x^2 . The x -coordinate of the point is decreasing at the rate of 5 units/second. Then, the rate at which y coordinate of the point is changing when the point is at (1,2) is

Options

  1. A5 unit/s
  2. B10 unit/s
  3. C15 unit/s
  4. D20 unit/s

Correct answer

D. 20 unit/s

Step-by-step solution

Given equation of curve is y=4-2 x^2 On differentiating both sides w.r.t. t , we get aligned d y d t & =-4 x d x d t d x d t & =-5, point (1,2) d y d t & =-4(1)(-5)=20 unit/s aligned

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