Ok yeah, the chain rule is not the right thing to apply
here!!
@ eagle. I am not sure but your usage of
the quoient rule seems incorrect.
let y
= (2x-6)
/ (x^2 -6x +10)
from the quoient
rule equation in the text book:
if y = u /v then dy / dx = ( (du/dx) v - u (dv / dx) ) /
(v)^2
therefore in my case u=2x - 6 and v= (x^2 - 6x +10). So wouldn't
it be:
dy/dx = ( 2(x^2 - 6x +10) - (2x -6)(2x -6) )
/ (x^2 - 6x +10)^2
= ( 2x^2 - 12x +20
- (4x^2 -24x +36) ) / (x^2 - 6x +10)^2
= ( 2x^2 - 12x +20
- 4x^2 +24x -36) / (x^2 - 6x +10)^2
= ( -2x^2 + 12x
-16) / (x^2 - 6x +10)^2
Is this correct?? We don't have to worry about (x^2 -6x
+10)^(-1) in this situation, right???