Question 24
a) Compute the intersection points of the curves $y = -x^{-2}$ and $y = -\frac{x^{2}}{2} + \frac{1}{2}$ and the size of the angle between them.
b) The function $f(x) = \frac{x}{\ln x}$ is given. Determine the domain of the function $f$ and the intervals on which the function $f$ is increasing and decreasing.
b) The function $f(x) = \frac{x}{\ln x}$ is given. Determine the domain of the function $f$ and the intervals on which the function $f$ is increasing and decreasing.