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in Limit, continuity and differentiability by (54.8k points)

If the value of the expression y3(d2y/dx2) for the ellipse 3x2 + 4y2 = 12, - p/q where p and q are coprimes then the value of p + q

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Differentiating implicity we have

6x + 8yy' = 0 and hence y' = - 3x/4y; 4[yy'' + (y')2] = - 3

differentiating again and substitute for y' we have 

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