Grade 12Differential Calculus
if ax^2+2hxy+by^2=1 then prove thatd2y/dx2=h^2-ab/(hx+by)^3
if ax^2+2hxy+by^2=1 then prove thatd2y/dx2=h^2-ab/(hx+by)^3
1 Answer
Arun
Dear student
2ax+ 2h y + 2hx dy/dx + 2 by dy/dx = 0
2a + 2h dy/dx + 2hx d2y /dx2 + 2 h dy/dx + 2 b(dy/dx)2 + 2by d2y /dx2 = 0
now you justhave to simplify here
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