So basically the function is: f(x) = x2 (x2 + 1)-3.
I have to use the quotient rule to differentiate it. I just started derivatives, so I don't quite understand it. I've had like 5 different tutors or people explain this specific problem, but I still don't understand it and they all got frustrated with me when I didn't understand.
I understand d/dx (u/v) = (v (du/dx) - u (dv/dx)) / (v2) is the quotient rule. I understand this no problem.
u = x2 v = (x2 + 1)3
f(x) = (x2)/(x2+1)3
= ((x2 + 1)3 (2x) - (x2) 3(x2 + 1)2 (2x))/(x2 + 1)6 I understand this because it's just using the quotient rule and deriving what you can in there.
= ((x2 + 1)3 (2x) -6x3 (x2 + 1)2) / (x2 + 1)6 This is just simplifying, so I understand this....
Then after there is where the tutors lose me, I've had the tutors come to different answers too, so I have no idea, super frustrated.