The range of `f(x)=(x+1)(x+2)(x+3)(x+4)+5` for `x in [-6,6]` is [4, 5045] (b) [0, 5045] `[-20 , 5045]` (d) none of these

(x+1)(x-3)(x+2)(x-4)+6=0

f(x)=x^(4)-6x^(2) find f'(x) .

Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a) (pi/4,(3pi)/4) (b) [pi/4,(3pi)/4] (c) {pi/4,(3pi)/4} (d) none of these

If f(x)=sin^6x+cos^6x , then range of f(x) is [1/4,1] (b) [1/4,3/4] (c) [3/4,1] (d) none of these

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is [0,pi/2] (b) (0,pi/6) (c) [pi/6,pi/2] (d) none of these

If x is real, then the value of the expression (x^2+14x+9)/(x^2+2x+3) lies between (a) 5 and 4 (b) 5 and -4 (c) -5 and 4 (d) none of these

The domain of f(x)=cos^(-1)((2-|x|)/4)+[ log(3-x)]^-1 is (a) [-2,6] (b) [-6,2)uu(2,3) [-6,2] (d) [-2,2]uu(2,3)

The range of the function f(x)=|x-1|+|x-2|,-1lt=xlt=3, is [1,3] (b) [1,5] (c) [3,5] (d) none of these

The range of the function tan^(-1)((x^2+1)/(x^2+sqrt(3))),x in R is a. [pi/6,pi/2) b. [pi/6,pi/3) c. [pi/6,pi/4] d. none of these

Evaluate: int((x-1)(x-2)(x-3))/((x-4)(x-5)(x-6))dx