Don't know the steps in finding this derivative.
But the derivative is
Now simplify:
The answer is:
2 / 2 \ 2*x - 3*x - 5 |2*x - 3*x - 5 | x *|-------------- + (-3 + 4*x)*log(x)| \ x /
/ 2 \ 2 |/ 2 \ 2 | -5 - 3*x + 2*x || 5 - 2*x + 3*x| 5 - 2*x + 3*x 2*(-3 + 4*x)| x *||(-3 + 4*x)*log(x) - --------------| + 4*log(x) + -------------- + ------------| |\ x / 2 x | \ x /
/ / 2 \ \ | 2*\5 - 2*x + 3*x/ 3*(-3 + 4*x) | | 3 -12 + ------------------ + ------------ | 2 |/ 2 \ 2 x / 2 \ / 2 \| -5 - 3*x + 2*x || 5 - 2*x + 3*x| x | 5 - 2*x + 3*x| | 5 - 2*x + 3*x 2*(-3 + 4*x)|| x *||(-3 + 4*x)*log(x) - --------------| - --------------------------------------- + 3*|(-3 + 4*x)*log(x) - --------------|*|4*log(x) + -------------- + ------------|| |\ x / x \ x / | 2 x || \ \ x //