Find the points of local maxima and minima if any of the following function defined in $$0 \le x \le 6,$$ $$\,\,\,\,f\left( x \right) = {x^3} - 6{x^2} + 9x + 15.$$

What is the maximum value of the function
$$f\left( x \right) = 2{x^2} - 2x + 6$$ in the interval $$\left[ {0,2} \right]$$?