Find the points of local maxima or local minima and the corresponding local maximum and minimum values of each of the following functions:
`f(x) = - (x -1)^(3) (x + 1)^(2)`

Find the points of local maxima or local minima and the corresponding local maximum and minimum values of each of the following functions: f(x) = (x -3)^(4)

Find the points of local maxima or local minima and the corresponding local maximum and minimum values of each of the following functions: f(x) = x^(2)

Find the points of local maxima or local minima and the corresponding local maximum and minimum values of each of the following functions: f(x) = (x -1) (x + 2)^(2)

Find the points of local maxima or local minima and the corresponding local maximum and minimum values of each of the following functions: f(x) = -x^(3) + 12x^(2) - 5

Find the points of local maxima or local minima and the corresponding local maximum and minimum values of each of the following functions: f(x) = (x)/(2) + (2)/(x), x gt 0

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=x+sqrt(1-x),x<=1

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=x+sqrt(1-x),\ \ xlt=1

Find the points of local maxima or local minima and corresponding local maximum and local minimum values of each of the following functions. Also, find the points of inflection, if any : f(x)=x^4-62 x^2+120 x+9

Find all the points of local maxima and local minima as well as the corresponding local maximum and local minimum values for the function f(x)=(x-1)^(3)(x+1)^(2)

Find all the points of local maxima and local minima as well as the corresponding local maximum and local minimum values for the function f(x)=(x-1)^3(x+1)^2 .