Find d 2 y over d x squared for the curve given by x = 1 - t2 and y = 10t + 1

Question

Find  for the curve given by x = 1 - t² and y = 10t + 1

A
B	0
C
D	None of these

Answer 1

dy/dx = (dy/dt)/(dx/dt) = 10/(- 2t) = - 5/t;

d²y/dx² = d/dx(dy/dx) = d/dt(dy/dx)·dt/dx = d/dt(-5/t)/(dx/dt) = (5/t²)/(- 2t) = - 5/(2t³);

Answer is C