The maximum value of `f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^2+2x^2+3))` is (A) `18^@` (B) `36^@` (C) `22.5^@` (D) `15^@`

Maximum value of f(x) =2x^(3)-9x^(2)+12x-2 is

The minimum value of the function f(x)=2tan x+3cot x where x in(0 (pi)/(2)) is (A) sqrt(6) (B) 2sqrt(6) (C) 6sqrt(2) (D) 12

The minimum value of the function f(x)=2tan x+3cot x where x in(0 (pi)/(2)) is (A) sqrt(6) (B) 2sqrt(6) (C) 6sqrt(2) (D) 12

The minimum value of the function f(x)=3tan x+4cot x where x in(0,(pi)/(2)) is (A) 7 (B) 2sqrt(12) (C) 6sqrt(2) (D) 12

The values of x satisfying the equation (31+8sqrt(15))^(x^(2)-3)+1=(32+8sqrt(15))^(x^(2)-3) is/are (A) 3 (B) 0 (C) 2 (D) -2

The minimum value of the function f(x)=2tan x+3cot x where x in(0, (pi)/(2)) is (A) sqrt(6) (B) 2sqrt(6) (C) 6sqrt(2) (D) 12

Choose the minimum value of (2x^(2) + 12x - 3)/(1 + 18x -3x^(2)) from the following options : (a) (-15)/(29) , (b) 15/28 , (c ) (-15)/(28) , (d) None of these

if f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then f'(3)+f'(6)= (A) 0 (B) 1 (C) 2 (D) 1/2

Let minimum and maximum value of y=2x^(3)-15x^(2)-36x+1AA x in[0,3] is m and M. Then