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AP EAMCET · Maths · Application of Derivatives

The stationary points of the curve y=8x2-x4-4 are____

  1. A (0,4),(2,12),(2,12)
  2. B (0,4),(2,12),(1,2)
  3. C (0,4),(1,2),(2,12)
  4. D (0,4),(1,2),(1,2)
Verified Solution

Answer & Solution

Correct Answer

(A) (0,4),(2,12),(2,12)

Step-by-step Solution

Detailed explanation

Given curve y = 8x2 - x4 -4 Differentiate on both sides dydx = 16x - 4x3 To get stationary points dydx = 0 4x4-x2=0 ⇒x = 0 , x2 = 4 ⇒ x = 0 , ±2…