Let `f(x)=(x-3)(x-6)(x-9).......(x-3n),n>=6` then `f'(6)` equals

Let f(x)=(x-2)(x-4)(x-6)...(x-2n) then f'(2) equals

Let f(x)=(x-1)(x-2)(x-3)...(x-n),n in N, and f(n)=5040 Then the value of n is

Let f(x) = (x - 1)(x - 2)(x - 3)…(x -n), n in N and f(')(n) = 5040 . Then the value of n is …..

If f(x) =1 + nx+ (n(n-1))/(2) x^(2) + (n(n-1)(n-2))/(6) x^(3) + ...+ n^(x) , "then" f''(1) is equal to

If f(x) = x^(6) + 6^(x) , then f'(x) is equal to

If n be a natural number define polynomial f_(n)(x) of n^(th) degree as follows f_(n)(costheta)cosntheta i.e. f_(2)(x)=2x^(2)-1 f_(3)(x)=4x^(3)-3x_(1) Then f_(6)(x) is equal to

Let f(x)=(|x^(3)-6x^(2)+11x-6|)/(x^(3)-6x^(2)+11x-6) then the number of solutions of a where lim_(xtoa)f(x) does not exist is

Let f(x)=(5x+6)/(7x+9) then, f^-1(x) =?

Let f:R rarr R be a function such that |f(x)-f(y)|<=6|x-y|^(2) for all x,y in R. if f(3)=6 then f(6) equals: