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, given x = 8 and dx/dt = 12

b) Find dx/dt, given x = 1 and dy/dt = −9

Answer 1

Hello, thank you for taking the time to post your question!

It looks like it’s setting up a related rates question based on the information given … did it give you anything related to the values of x and y? usually there would be an underlying relationship between those variables like y = x^2 that you could then apply the chain rule to as part of simplifying. Like in that context you would end up with

dy/dt = 2x * dx/dt and then you could plug in the given values in order to solve for the missing value algebraically

I hope that helps get you moving in the right direction! Feel free to reach out if you know the exact function relating x and y or if you have any additional questions beyond that :)