If x=a(t+ t) and y=a(1- t) , then d^2 y d x^2

Step-by-step solution

gathered x=a(t+ t) and y=a(1- t) d x d t =a(1+ t), d y d t =a t d y d x = d y / d t d x / d t = a t a(1+ t) = 2 t / 2 t / 2 2 ^2 t / 2 d y d x = t 2 d^2 y d x^2 = ^2 t / 2 1 2 d t d x = ^2 t 2 2 a(1+ t) = 1 4 a ^4(t / 2) . gathered