List of top Mathematics Questions on Second Order Derivative asked in AP EAMCET

Given the equation: \[ y = (\tan^{-1} 2x)^2 + (\cot^{-1} 2x)^2, \] find the expression: \[ (1+4x^2)^2 y'' - 16. \]
If
\[ x^3-2x^2y^2+5x+y-5=0, \] then at \((1,1)\), \(y''(1)=\)