x + log(x)
Differentiate x+log(x)x + \log{\left(x \right)}x+log(x) term by term:
Apply the power rule: xxx goes to 111
The derivative of log(x)\log{\left(x \right)}log(x) is 1x\frac{1}{x}x1.
The result is: 1+1x1 + \frac{1}{x}1+x1
Now simplify:
The answer is:
1 1 + - x
-1 --- 2 x
2 -- 3 x