The maximum value of `f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3))` is (A) `18^@` (B) `36^@` (C) `22.5^@` (D) `15^@`

Find the maximum value of f(x)=(40)/(3x^(4)+8x^(3)-18x^(2)+60)

Maximum value of (sqrt(-3+4x-x^2)+4)^2+(x-5)^2 (where 1 le x le 3) is

The maximum value of f(x)=x/(4-x+x^2) on [-1,1] is (a) 1/4 (b) -1/3 (c) 1/6 (d) 1/5

The maximum value of f(x)=x/(4+x+x^2) on [-1,1] is (a) 1/4 (b) -1/3 (c) 1/6 (d) 1/5

The maximum value of f(x)=x/(4-x+x^2) on [-1,1] is (a) 1/4 (b) -1/3 (c) 1/6 (d) 1/5

The maximum value of x^4e^ (-x^2) is (A) e^2 (B) e^(-2) (C) 12 e^(-2) (D) 4e^(-2)

The value of lim_(x->1)(1-sqrt(x))/((cos^(-1)x)^2) is 4 (b) 1/2 (c) 2 (d) 1/4

For f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) (a) f_(m a x)=pi/(12) (b) f_(max)=0 (c) f_(max) = does not exist (d) f_(max)=pi/(2)

The maximum value of (log)_(20)(3sin x-4cos x+15)- a. \ 1 b. 2 c. 3 d. 4

The sum of values of x satisfying the equation (31+8sqrt(15))^(x^2-3)+1=(32+8sqrt(15))^(x^2-3) is (a) 3 (b) 0 (c) 2 (d) none of these