I am very confused in differentiating in fractions
f(x) = _______
i know how to differentiate the numerator but not denominator
how do you differentiate the bottom???
*** i already know that u'v-v'u formula and i dont mean by that..
i wanna know how to differentiate separately, numerator and denominator
f(x) = x²/(1+x²)
f(x) = x²(1+x²)-¹
Now, use the uv method:- u'v + uv'
f'(x) = 2x(1+x²)-¹ + x²(-1)(1+x²)-²(2x)
This is because you didn't want to use u/v = (u'v - uv')/v²
It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
I don't know why you are avoiding the formula....
Anyway, just for fun, you can differentiate f(x) using my loooong method
(in pratical problems use Ganesh's method.)