I had calculus this summer and I got an A easy. Everyone bitched it was hard or they didn't understand. Thats fine if they put in the time.
Not to be a dick if you do these things, but these things really really do help teach you:
*Read before the lecture on the section in class (yes that means in a math class trying to figure out on your own what you will be talking about)
*Take notes and copy all the examples during lecture, ask questions
*Do all the homework and then do MORE if you feel like its still cloudy (even if you have to refer to your notes a lot to do the HW, you need to do a lot of problems)
*Then re-read, re-write your notes and do review problems for the test
I see to many of my peers trying to skip out on one of those steps and they get the grade they earned. Just because you pay to go to school doesn't mean you are entitled to a good grade. You earn your grades through your school work.
If you do all that, and still don't understand I'd get a tutor or something, but there is no reason to use someone else as a crutch thinking it will help you understand it better for less time. School is work
now your problem:
need to find dy/dx of
(x^3)+(y^3)=3xy^2
Your going to take the derivative of every term, and every term that never had an X variable you will add (dy/dx)
Rules used:
Product Rule
Chain Rule
Thus:
3X^2 + 3Y^2(dy/dx)=6X+ 2Y(dy/dx)
Move like terms to both sides
3X^2 - 6X = 2Y(dy/dx)-3Y^2(dy/dx)
Factor out dy/dx
3x^2 + 6x = (dy/dx)(2y - 3y^2)
Solve (divide out)
dy/dx=(3x^2 + 6x)/(2y - 3y^2)
Then simplify if you can. I think thats how you do it. If there is a problem its with my 3xy^2 turning into a dy/dx with the product rule. Its been a while and I don't have my notes in front of me