Consider the following for the next two (02) items that follow:

A differentiable function $f(x)$ has a local maximum at $x = 0$. Let $y = 2f(x) + ax - b$.

The function $y$ has a relative maxima at $x = 0$ for

Consider the following for the next items that follow:

Given that 4x2 + y2 = 9.

Consider the following for the next items that follow:

Given that 4x2 + y2 = 9.

Consider the following statements :

1. f(x) = In x is increasing in (0, ∞)

2. $g(x)=e^x+e^{\frac{1}{x}} $ is decreasing in (0, ∞)

Which of the statements given above is/are correct ?