Please help and thank you!

Question

Given the relationship 2x² + y³ =10, with y > 0 and  = 3 units/min., find the value of  at the instant x = 1 unit.

Options:

1. -9 units/min
2. - units/min
3. -13/2 units/min
4. -1/9 units.min

Answer 1

When x = 1, y = 2.

4x (dy/dt) + 3y² (dy/dt) = 0

Now just plug in the values and solve for dx/dt to get the answer.