Assignment:
Determine the intervals on which the function is increasing and intervals on which the function is decreasing. Check your answers by graphing the corresponding functions. f(x) = (x - 1)3 - 2.
1. f(x) = cosx + 2 restricted to x Ξ ( -2, 2) .
2. f(x) = x √1-x restricted to x<1 .
3. f(x) = x ln x restricted to positive x.
Provide complete and step by step solution for the question and show calculations and use formulas.