Find points of local maxima/minima of `f(x)=(2^x-1)(2^x-2)^2`

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

Find points of local maxima // minima of f(x) =x^(2) e^(-x) .

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

Find the points of local maxima/minima of function f(x) = - (x - 1)^(3) (x + 1)^(2)

Find the points of local maxima/minima of function f (x) = 2x^(3) -21 x^(2) + 36 x - 20

Find all the points of local maxima and minima of the f(x)=x^(3)-6x^(2)+9x-8

Find the points of local maxima or minima for f(x) =" sin "2x -x, x in (0,pi)

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:

Find the points of local maxima and minima of the function f(x)=x^(2)-4x .