1. For each function below, find

1. (i)the x-coordinate of the relative (local) minima/maxima using the first derivative test
2. (ii)the interval(s) on which f is increasing and the interval(s) on which f is decreasing
3. (iii)the x-coordinate of the relative (local) minima/maxima using the second derivative test, if possible
4. (iv)the inflection points of f, if any
5. (v)the interval(s) on which f is concave upward and the interval(s) on which f is downward

a) f(x)=x+cosx, (0x2)

b) f(x)=x^2xlnx

c) f(x)=xln(1/x)