Question

An object moves along the path x2 - y2 = 5

Answer 1

simply differentaite wrt 't'
we have
2xdx/dt - 2ydy/dt =0
or
dy/dt = (x/y) dx/dt here x=-3 and y =2 and dx/dt =-4 just plug in all the values to get dy/dt

Answer 2

-4=(-3/2) -4

Answer 3

wait
dy/dt=(-3/2)-4

Answer 4

=-6