Answer:
dx/dt | (x=3) = 27/2
Explanation:
x*y = 2 ......... (a)
At x = 3, (3)*y = 2 => y = 2/3
Differentiate (a) wrt t,
x.dy/dt + y.dx/dt = 0 ........ (b)
Put x=3, dy/dt=-3 and y=2/3 in the differential equation (b),
3(-3) + (2/3)*dx/dt = 0
dx/dt = (9*3)/2 = 27/2
