Assignment:
Find the interval on which the function f is increasing and or is decreasing and label the local maxima and minima if there is a global extrema is should be so identified.
1, F(x)= x^3 + 3x
2. F(x) = (x-2)^2(2x+3)^2
3. F(x)= 1/x
4 F(x)=6-5x-6x^2
5. F(x)=x^3 +4x
Provide complete and step by step solution for the question and show calculations and use formulas.