Question

Find y" in terms of x and y by implicit differentiation.
(x^3)+(y^3)=4^3

Answer 1

I think the first would start out as 3y^2(dy/dx) so 3x^2+3y^2(dy/dx)=0

Answer 2

Dang, what am I doing wrong, the professor didn't really go over this rule in my class.

Answer 3

ok thats right carry on sorryyyyyyyyyyyyyy

Answer 4

so would the second derivative be 6x+6y(dy/dx)=0

Answer 5

ya right

Answer 6

Okay then after that how would you put it in terms of x and y? I am guessing to start you would put all the y's on one side like this maybe? 6x=6y(dy/dx)

Answer 7

ya but 6x= -6y(dy/dx)

=> dy/dx = -x/y

Answer 8

but remember this is the second derivative

Answer 9

Now I am stuck, sorry.

Answer 10

why where????

Answer 11

I am stuck on simplifying it down to terms x and y

Answer 12

ok ok see this