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AP EAMCET · Maths · Differentiation

If x3-2x2y2+5x+y-5=0, then at 1,1, y''1=

  1. A -19727
  2. B 12531
  3. C 12
  4. D -23827
Verified Solution

Answer & Solution

Correct Answer

(D) -23827

Step-by-step Solution

Detailed explanation

Given, x3-2x2y2+5x+y-5=0 Now derivative of equation w.r.t. x will be ⇒3x2-4xy2-4x2yy'+5+y'-0=0    ...1 Given that y1=1 ⇒3-4-4y'1+5+y'1=0⇒y'1=43 Derivative of equation 1 w.r.t. x will be ⇒6x-4y2-8xyy'-8xyy'-4x2y'y'-4x2yy''+y''=0…