If s = t ^2+1 , then d ^2 ~s dt ^2 is equal to

Step-by-step solution

aligned & s = t ^2+1 & ds dt = t t ^2+1 aligned aligned & d ^2 ~s dt ^2 = 1 ( t ^2+1 )^3 & ~d ^2 ~s dt ^2 = 1 ~s ^3 aligned