Let polynomial function `f(x)=x^4+ax^3+bx^2+cx+d` such that `f(1)=1,f(2)=2,f(3)=3` then `[(f(-1)+f(5))/(f(0)+f(4))]` equals(where [.] denotes greatest integer function)

Let f(x)=[|x|] where [.] denotes the greatest integer function, then f'(-1) is

If f(x)=([x])/(|x|),x ne 0 where [.] denotes the greatest integer function, then f'(1) is

Let f(3)=4 and f'(3)=5 . Then lim_(xrarr3) [f(x)] (where [.] denotes the greatest integer function) is

If f(x)=([x])/(|x|), x ne 0 , where [.] denotes the greatest integer function, then f'(1) is

Let f(x)=sec^(-1)[1+cos^(2)x], where [.] denotes the greatest integer function. Then the

Let f(x) = (x[x])/(x^2+1) : (1, 3) rarr R then range of f(x) is (where [ . ] denotes greatest integer function)

Let f(x) = (x[x])/(x^2+1) : (1, 3) rarr R then range of f(x) is (where [ . ] denotes greatest integer function

Let f(x) = [x]^(2) + [x+1] - 3 , where [.] denotes the greatest integer function. Then

Let f:(2,4)->(1,3) where f(x) = x-[x/2] (where [.] denotes the greatest integer function).Then f^-1 (x) is

Let f(x) is a polynomial function and f(alpha))^(2) + f'(alpha))^(2) = 0 , then find lim_(x rarr alpha) (f(x))/(f'(x))[(f'(x))/(f(x))] , where [.] denotes greatest integer function, is........