I almost agree ...
Find
I didn't get very far after differentiating with respect to x; here's my step 1): .
I have several questions. Can I multiply by another to get ?
If not, I'll show the steps I went through with a brief explanation: I moved a dy/dx and the +1 to different sides and then factored out a dy/dx:
2)
Solved for dy/dx
3)
Differentiated again with respect to x using quotient rule / chain rule.
4)
Simplified the top by distributing the negative one and multiplying the dy/dx terms (if that's legal).
5)
Substituted dy/dx back into the game.
6)
Multiplied lowest denominator across the middle denominator.
7)
I have another problem of a similar nature to add to this.
First derivative with respect to x: 1)
Solve for dy/dx: 2)
Now things get hairy taking second d: 3)
Substituting dy/dx back into the game: 4)
step 5),
And then,
I get stuck here now. I can't factor out the 2.
I see you did the product rule, but I'm confused. You got which I think is the result of differentiating , but then there's also an at the end of the left side of the expression. When you differentiate using the product rule does that term go to 1? Wait, is that single term before solving for a typo? I don't see it moved over to the right hand side.
Thanks!