Derivative of y=lnx-2x-12x2

1. Differentiate $- 12 x_{2} + \left(- 2 x + \log{\left(x \right)}\right)$ term by term:

   1. Differentiate $- 2 x + \log{\left(x \right)}$ term by term:

      1. The derivative of $\log{\left(x \right)}$ is $\frac{1}{x}$.

      2. The derivative of a constant times a function is the constant times the derivative of the function.

         1. Apply the power rule: $x$ goes to $1$

         So, the result is: $-2$

      The result is: $-2 + \frac{1}{x}$

   2. The derivative of the constant $- 12 x_{2}$ is zero.

   The result is: $-2 + \frac{1}{x}$

The answer is:

$$-2 + \frac{1}{x}$$