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 :(

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

Haha! Ohh! I see now! Thanks!