indicated rate x^2 + 3xy + y^2 =11 dx/dt = 2, when x=1 y=2

Question

Indicated Rate and Motion, Derivative Topics

Answer 1

2x (dx/dt) + 3 (dx/dt)y + 3 (dy/dt)x + 2y(dy/dt) = 0

2(1)(2) + 3(2)(2) + 3(dy/dt)(1) + 2(2)(dy/dt) = 0

16 + 7(dy/dt) = 0

dy/dt = -16/7