2 x + 3*x x
/ 2 \ d | x + 3*x| --\x / dx
Don't know the steps in finding this derivative.
But the derivative is
Now simplify:
The answer is:
2 / 2 \ x + 3*x |x + 3*x | x *|-------- + (3 + 2*x)*log(x)| \ x /
x*(3 + x) / 2 3 + x 2*(3 + 2*x)\ x *|(3 + x + (3 + 2*x)*log(x)) + 2*log(x) - ----- + -----------| \ x x /
/ 3*(3 + 2*x) 2*(3 + x) \ | 6 - ----------- + --------- | x*(3 + x) | 3 x x / 3 + x 2*(3 + 2*x)\| x *|(3 + x + (3 + 2*x)*log(x)) + --------------------------- + 3*(3 + x + (3 + 2*x)*log(x))*|2*log(x) - ----- + -----------|| \ x \ x x //