Where did I go wrong?
I think I should stick to differentiating the left and than the right, because that's what we do in class. Heres where I got my answer from doing the quotient rule on x^2 / 4pi:
f'(x) = g'(x)h(x) - g(x)h'(x) / (4pi)^2
= (2x)(4pi) - (x^2)(0) / 4pi^2
= 8pix - 0 / 4pi^2
= 8pix / 4pi^2
Where did I mess up? I used a derivative calculator online and it said the derivative would be x / 2pi
Sorry again harish thanks for that technique but I don't believe I should be doing it that way in the class im in
differentiating u w.r.t x we get and
differentiating v w.r.t x we get This is always the case when differentiating constants.
Applying the quotient rule we get;
Now we can cancel out as it is common to both the top and bottom line.
This leaves us with