Assume x and y are functions of t. Evaluate dy/dt for 3xy-4x+2y^3=-80, with the conditions dx/dt=-6, x=2, y=-3

Answer 1

First you need to differentiate WRT "t"

3x(dy/dt) + y(3dx/dt) - 4dx/dt + 6y^2(dy/dt) = 0

Substitute known values

3(2)dy/dt + -3(3)(-6) - 4(-6) + 6(-3)^2(dy/dt) = 0

Now you finish it! Solve for dy/dt!