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 at which the function f given by f(x)=(x-2)^4(x+1)^3 has(i) local maxima (ii) local minima (iii) point 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 (1)local maxima (2) local minima (3)point of inflexion (4) decreasing/increasing

The function f(x) = (x)/( 2) + (2)/( x) has a local minimum at

The point of inflexion for the function f(x)=x^3 is

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

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

L e tf(x)={((x-1)(6x-1))/(2x-1),ifx!=1/2 0,ifx=1/2 Then at x=1/2, which of the following is/are not true? f has a local maxima f has a local minima f has an inflection point. f has a removable discontinuity.