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

Find the range of f(X) = tan^(-1)x-(1)/(2)log_(e)x in ((1)/(sqrt(3)),sqrt(3))

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.

log(sqrt(x)+1/sqrt(x))

The least value of the f(x) given by f(x)=tan^(-1)x-1/2 log_ex " in the interval "[1//sqrt3,sqrt3] , is

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

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.

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

Differentiate tan^(-1)((3x-x^3)/(1-3x^2)) , if -1/(sqrt(3))

Find the domain and range of f(x)=[log(sin^(-1)sqrt(x^2+3x+2))] .

The number of points of maxima/minima of f(x) =x(x + 1) (x +2) (x + 3) is