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 local minima of the function f given by f(x) = 2x^( 3) – 6x^(2) + 6x +5.

Find local maximum and local minimum values of the function f given by f(x) = 3x^(4) + 4x^(3) – 12x^(2) + 12

The local minimum value of the function f' given by f(x) = 3 + |x|, x in R is

The local minimum value of the function f' given by f(x)=3+|x|, x in R is

The total number of local maxima and local minima of the function : f(x)={((2+x)^(3)",",-3ltx le -1),(x^((2)/(3))",",-1lt x lt 2):} is :

Check the continuity of the function f given by f(x) = 2x + 3 at x = 1 .

Find the local maximum value of the function g(x)=x^3-3x

Show that the function given by f(x) = 7x – 3 is increasing on R.

Discuss the continuity of the function f given by f(x)= x^(4)+x^(3)-x^(2)-1 .