Let `f(x)=2x^3-9x^2+12 x+6.` Discuss the global maxima and minima of `f(x)in[0,2]a n d(1,3)` and, hence, find the range of `f(x)` for corresponding intervals.

Discuss the global maxima and global minima of f(x)=tan^(-1)(log)_e x in [1/(sqrt(3)),sqrt(3)]

Discuss the maxima and minima of the function f(x)=x^(2/3)-x^(4/3)dot Draw the graph of y=f(x) and find the range of f(x)dot

Let f(x)=x^3-6x^2+12x-3 . Then at x=2 f(x) has

Discuss the extremum of f(x)=2x^3-3x^2-12 x+5 for x in [-2,4] and the find the range of f(x) for the given interval.

f(x)=(x-1)/(x^(2)-2x+3) Find the range of f(x).

Find the points of maxima or minima of f(x) =x^(2) (x-2)^(2) .

Let f(x) =x^(3) -x^(2) -x-4 (i) find the possible points of maxima // minima of f(x) x in R (ii) Find the number of critical points of f(x) x in [1,3] (iii) Discuss absolute (global) maxima // minima value of f(x) for x in [-2,2] (iv) Prove that for x in (1,3) the function does not has a Global maximum.

Find the points of local maxima or minima for f(x) =" sin "2x -x, x in (0,pi)

Discuss maxima/minima of f(x) = (x)/(1 + x tan x), x in (0, (pi)/(2))

.The ratio of absolute maxima and minima of f(x)=(x^2-x+1)/(x^2+x+1) xepsilonR is