Read the two statements and choose the correct option.

I. For $y = x^{x} + x^{2}$, $\log y = x\log x + 2\log x$.

II. For $y = \frac{x^{2}}{(x + 1)^{3}}$, $x > 0$, $\frac{1}{y}\frac{dy}{dx} = \frac{2}{x} - \frac{3}{x + 1}$.

Explanation

1. 01

   I is false: $x\log x + 2\log x$ is the logarithm of the product $x^{x} \cdot x^{2}$, and the logarithm of a sum does not split.

2. 02

   II is true: $\log y = 2\log x - 3\log(x + 1)$, whose derivative is $\frac{2}{x} - \frac{3}{x + 1}$.