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 the points of local maxima or minima and corresponding local maximum and minimum values of f(x)=x^5-5x^4+5x^3-1

Find the local maxima and local minima of the following function g(x)=x^3-3x . Also find the local maximum and the local minimum values.

Find all the points of (local) maxima and (local) minima of the function -(x^2-5x+6)

Find the point of local maxima and local minima of the function f(x) = sin x - cos x, 0 lt x lt 2pi . Also, find the local maximum and local minimum values.

Find the local maxima and local minima, of the function f(x) = sin x -cos x , 0 le x le 2pi . Also find the local maximum and local minimum values.

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)=cosx ,0

Find the points of local maxima and ocal minima, if any, of the function: f(x) = (x-1)(x+2)^2 Find also the local maximum and local minimum values.

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)