Question

Find dy/dx by implicit differentiation.
5x^3+x^2y−xy^3=3

Answer 1

Mmmm ok.
What part are you having trouble with?
First term is ok, yes?

Those y's confusing you?

Answer 2

i got the derivative to be \[15x^2+2xy+x^2y'-y^3+xy^3y'\]is that right?

Answer 3

15x^2+2xy+x^2y'-y^3+xy^3y'=0

Answer 4

Everything looks good except the last term.
When you did your product rule, you made a couple of small mistakes.
~Distribute the negative sign from the original -xy^3
~Taking the derivative of the y^3 shouldn't give you y^3y'

Answer 5

yeah i was just gonna say that it should be -x3y^2y'

Answer 6

(-x)(3y^2)(y')

Answer 7

ya looks good! :)

Answer 8

ok i think i got it. one sec

Answer 9

nope i dont have it

Answer 10

WAIT WAIT WAIT!!!!!!!!!!! I GOT IT. NEVER MIND. THANKS FOR THE HELP!!!!!!

Answer 11

haha :) gj