Calculus Question (parametric equations)

[notfred]

OK, I'm going over old quizzes here studying for my final. I got to a question that I got correct at the time, but I haven't the slightest idea how I got it now that I came back to look at it again. It looks like apretty simple problem, too.

Pic of problem

Where the hell did I get (3t^2)/(2t) from? I have no idea how I came up with that, but it must have been fairly simple if I didn't need to do any work to get it.

Help?

 

[TallBill]

Doh.. i thought i remembered.. and was just about to post.. but it slipped.. i'll keep thinkin 😛

 

[dighn]

dy/dx = (dy/dt)/(dx/dt)

 

[minendo]

Originally posted by: notfred
Where the hell did I get (3t^2)/(2t) from? I have no idea how I came up with that, but it must have been fairly simple if I didn't need to do any work to get it.

Help?

deriv of y divided by deriv of x

 

[notfred]

Right after I posted I noticed it's y'/x'

 

[TallBill]

grr, i cant remember the term.. but you take the t^3 and multiply by the power and subtract one from the power? 3t^2
And do the same for the x portion 2t^1 or 2t

Im not saying this is right, but it might be.

lol, derivative 😛 was the word i was lookin for

y'/x'

Its been.. a while since i've taken calc 😛 and even longer since i've taken calc seriously

 

[snik]

Originally posted by: notfred
Right after I posted I noticed it's y'/x'

It does help when you can read your own handwriting 😉