Differentiate term by term:
Don't know the steps in finding this derivative.
But the derivative is
The derivative of the constant is zero.
The result is:
The answer is:
x / x \ (x + 1) *|----- + log(x + 1)| \x + 1 /
/ x \ | 2 -2 + -----| x |/ x \ 1 + x| (1 + x) *||----- + log(1 + x)| - ----------| \\1 + x / 1 + x /
/ 2*x / x \ / x \\ | 3 -3 + ----- 3*|-2 + -----|*|----- + log(1 + x)|| x |/ x \ 1 + x \ 1 + x/ \1 + x /| (1 + x) *||----- + log(1 + x)| + ---------- - -----------------------------------| |\1 + x / 2 1 + x | \ (1 + x) /