Question

dy/dx of y^3*x+y^2*x^2 = 6
I keep getting this wrong by hand, I have a feeling I know what I am doing wrong but can someone go through it step by step?

Answer 1

you need to use implicit differentiation yes I will help you step by step

Answer 2

show me what you have so far and I will help you where you go wrong sound good?

Answer 3

sure, I know for a fact I am forgetting the x for the y's when you have dy/dx but I honestly forgot how to do that lol. so I'll do ti by hand now :p

Answer 4

Okay =)

Answer 5

just a tip it is a lot easier if instead of writing dy/dx you just write y' and x' for y prime and x prime it just makes it easier on yourself to read you know what I mean?

Answer 6

satellite I got this

Answer 7

ok and yes, your tip is a good one
i was just going to make a small suggestion

Answer 8

yeah I used to do that lol, but since I have my AP exam tomorrow I want to get into the habit of using dy/dx so I won't confuse myself or a grader if it happens to be found in the free response lol.

Answer 9

alright fair enough =)

Answer 10

sorry satellite didn't mean to sound mean I just like the problems where I get to help the person through it haha.

Answer 11

just that if it was not clear how to work the with the product rule and chain rule in these, imagine that \(y=f(x)\) or maybe even \(y=\sin(x)\) and then see how you would find the derivative of
\[\sin^3(x)*x+\sin^2(x)*x^2 = 6 \] sometimes this clarifies the method

Answer 12

liizzyliizz do you know any implicit differentiation or do you want me to work you towards the problem with easier examples?