I was working though my problem book for Calculus and I was able to do the simple implicit differentiation questions such as:
y = 1
(I don't know how to do derivatives in Latex, somebody help!)
d/dx (
y) = d/dx (1)
(
)d/dx(y) + y(2x) = 0
(
)(dy/dx) + 2xy = 0
Rearrange and you get:
dy/dx = -2y/x
So I could do that and I get the basic idea of what we're doing, but there were two questions that really stumped me.
(a) xy = tan (xy)
(b)
= (arctan(y)) / (1 +
)
I am completely lost, any help would be muchly appreciated
EDIT: for (a) I did manage to get a line that said:
(x)(dy/dx) + y = sec(xy)
That on the right track?