Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.

Question

(a) Find dy/dt when x = 3, given that dx/dt = 4.



(b) Find dx/dt when x = 7, given that dy/dt = 5.

Answer 1

(a). dy/dx = (dy/dt) / (dx/dt)

4x - 6 = (dy/dt) / (dx/dt)

When x = 3 and dx/dt = 4, we have: 6 = (dy/dt) / 4

So dy/dt = 24

(b), Follow the procedure outlined in the solution to part (a).