In: Math
Use the First Derivative Test to find the exact location of all the relative extrema of the given function.
1. f(t) = t^3-3t^2, Domain [-1, +infinity)
2. f(x) = 3x^4-2x^3, Domain [1, +infinity)
3. f(x) = (x+1)^2/5. Domain [-2,0)
4. f(x) = √ x(x-1), Domain [0, infinity)