Find d(2)y|d(2)x in terms of x and y.
y^2=x^3
For y' I got:
2yy'=3x^2
y'(2y)=3x^2
y'=3x^2/2y
I would use the quotient rule for y'', right?
My text book is doing something totally different :(

Question

Find d(2)y|d(2)x in terms of x and y. 
y^2=x^3 
For y' I got: 
2yy'=3x^2
y'(2y)=3x^2
 y'=3x^2/2y 
I would use the quotient rule for y'', right? 
My text book is doing something totally different :(

anonymous · Answer

attachment

hartnn · Answer

u can use product rule here also
y'(2y)=3x^2

hartnn · Answer

your book attempted to simplify y' using y^2=x^3

anonymous · Answer

With the use of the product rule would I rewrite the fraction $$\frac{ 3x^3 }{ 2y }$$
as 
$$(3x^3) 2y^-$$

hartnn · Answer

i was talking about this :
y'(2y)=3x^2
diff. w.r.t x
 y''(2y)+2y'y' = 6x <----product rule

anonymous · Answer

Haha! Ohh! I see now! Thanks!