Find the points of local maxima, local minima and the points of inflection of the function `f(x)=x^5-5x^4+5x^3-1` . Also, find the corresponding local maximum and local minimum values

Find all the points of local maxima and local minima of the function f given by quad f(x)=2x^(3)-6x^(2)+6x+5

Find all the points of local maxima and local minima of the function f given by f(x)=2x^(3)-6x^(2)+6x+5

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

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

Find the points of local maxima and local minima of the function f(x)=2x^(3)-3x^(2)-12x+8 .

Find the points of maximum ( local maximum ) and minimum ( local minimum ) of the function f(x)=x^(3)-3x^(2)-9x ?

Find the points of local maxima or local minima,if any,of the following function,using the first derivative test.Also,find the local maximum or local minimum values,as the case may be: f(x)=(x-5)^(4)

Find the points of local maxima or local minima,if any,of the following function,using the first derivative test.Also,find the local maximum or local minimum values,as the case may be: f(x)=x^(3)(x-1)^(2)

Find the points of local maxima or local minima,if any,of the following function,using the first derivative test.Also,find the local maximum or local minimum values,as the case may be: f(x)=sin2x-x,quad -(pi)/(2)<=x<=(pi)/(2)