Find the points at which the function `f` given by `f(x)=(x-2)^4(x+1)^3` has local maxima local minima point of inflexion

Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(3) has local maxima and local minima and points of inflexion.

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

Find the points of local maxima and minima of the function f given by f(x)= x^(3)-12x^(2)+36x+5 .

For the function f(x)=4/3x^3-8x^2+16 x+5,x=2 is a point of local maxima (2) local minima point of inflexion (4) decreasing increasing

Find all points of local maxima and local minima of the function f given by f(x)=x^(3)-3x+3

Find the local maxima and minima of the function f(x)=x^(3)-2x^(2)+x+6 .

Find the points of local maxima/minima of function f(x) = x ln x

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

Find all the points of local maxima and minima of the function f given by f(x)= sinx- cosx , x in [0,2pi]

Find all the points of local maxima and minima of the function f given by f(x)= 4x^(3)-12x^(2)+12x+10