To find local maxima or minima

Find points of local maxima or minima of f(x) =x^(5)-5x^(4) +5x^(3)-1

Find the points of local maxima or minima of following functions f(x)=(x-1)^(3)(x+2)^(2)

Find the points of local maxima or minima of f(x)=sin2x-x

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=xe^(x). Also,find the points of inflection,if any:

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^(3)-2ax^(2)+a^(2)xa>0,x in R. Also,find the points of inflection,if any:

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

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=x^(3)-6x^(2)+9x+15. Also, find the points of inflection,if any:

Find the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=(x-1)(x+2)^(2). Also,find the points of inflection,if any: