Let `f(x) = tan^(-1) (x^2-18x + a) gt 0 x in R`. Then the value of a lies in

Let f(x) = x^(3) e^(-3x) , x gt 0 . Then the maximum value of f(x) is:

Let f : R to [0, pi/2) be defined by f ( x) = tan^(-1) ( x^(2) + x + a. Then set of value of a for which f(x) is onto is

Let f(x)=tan^(-1)((x^(3)-1)/(x^(2)+x)) , then the value of 17f'(2) is equal to

The complete set of values of a for which the function f(x) = tan^(-1) (x^(2)-18x+a) gt 0 AA x in R is a) (81,oo) b) [81,oo) c) (-oo,81) d) (-oo,81]

Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and f '(x) ne 0 for all x in R . If |[f(x)" "f'(x)], [f'(x)" "f''(x)]|= 0 , for all x in R , then the value of f(1) lies in the interval:

The complete set of values of a for which the function f(x)=tan^(-1)(x^(2)-18x +a)gt 0 AA x in R is a. (81, infty) b. [81,infty) c. (-infty,81) d. (-infty,81]

Let f (x+(1)/(x))= x^(2) +(1)/(x^(2)) , x ne 0, then the value of f (x) is-

Let f:R rarr[0,(pi)/(2)) defined by f(x)=Tan^(-1)(x^(2)+x+a) then the set of values of a for which f is onto is

Let f(x)=2x-tan^-1 x- ln(x+sqrt(1+x^2)); x in R, then