Consider the following for the next items that follow:

Let a function f be defined on ℝ - {0} and $\rm 2 f(x)+f\left(\frac{1}{x}\right)=x+3 $.

If f is differentiable, then what is f'(0.5) equal to?

Consider the following for the next items that follow:

A function is defined by$f(x)=\left|\begin{array}{ccc} x+1 & 2 & 3 \\ 2 & x+4 & 6 \\ 3 & 6 & x+9 \end{array}\right|$ .

The function is decreasing on :

Consider the following for the next items that follow:

A function is defined by$f(x)=\left|\begin{array}{ccc} x+1 & 2 & 3 \\ 2 & x+4 & 6 \\ 3 & 6 & x+9 \end{array}\right|$ .

The function attains local minimum value at :

Consider the following for the next items that follow:

Given that 4x2 + y2 = 9.

What is the maximum value of y?