Thread: Related Rates

Equation;

Find;
a) dy/dt
b) dx/dt

Given;
a) x = 3, dx/dt = 2
b) x = 1, dy/dt = 5

How do I go about solving this? I'm confused as to the procedure I need to use. A step-by-step solution would be greatly appreciated.

Originally Posted by Archduke01

Equation;

Find;
a) dy/dt
b) dx/dt

Given;
a) x = 3, dx/dt = 2
b) x = 1, dy/dt = 5

How do I go about solving this? I'm confused as to the procedure I need to use. A step-by-step solution would be greatly appreciated.

and we are assuming that the functions x = x(t) and y = y(t). So we do this implicitly:



Thus for part a you have x = 3 and dx/dt = 2 so


You try the second one.

-Dan

Originally Posted by topsquark

and we are assuming that the functions x = x(t) and y = y(t). So we do this implicitly:



Thus for part a you have x = 3 and dx/dt = 2 so


You try the second one.

-Dan

Thank you. I just have one last question; how would you implicitly derive this function; ? It is of the same topic.

Originally Posted by Archduke01

Thank you. I just have one last question; how would you implicitly derive this function; ? It is of the same topic.

xy is a product. Thus:


-Dan

I'm having trouble with something. The topic question was fine because it only had 3 variables, 2 of which were given, so you just had to isolate the 3rd one and solve for it. But for this one, there's 4 variables; . You're asked to find the value for y' while given x and x'. How could I solve that? I have 2 unknown variables. (y' and y)

BTW; x = 8, x' = 10.