Let f(x)=x^3-3(a-2)x^2+3ax+7 and f(x) is...

Let `f(x)=x^3-3(a-2)x^2+3ax+7` and `f(x)` is increasing in `(0,1]` and decreasing is `[1,5)`, then roots of the equation `(f(x)-14)/((x-1)^2)=0` is (A) `1` (B) `3` (C) `7` (D) `-2`

Similar Questions

Explore conceptually related problems

If the function f given by f(x)=x^(3)-3(a-2)x^(2)+3ax+7 ,for some a in R is increasing in (0,1] and decreasing in [1,5) then a root of the equation, (f(x)-14)/((x-1)^(2))=0(x!=1) is

Let f(x) = x^(3) + 3x^(2) + 9x + 6 sin x then roots of the equation (1)/(x-f(1))+(2)/(x-f(2))+(3)/(x-f(3))=0 , has

Let f(x)=int(1)/((1+x^(2))^(3//2))dx and f(0)=0 then f(1)=

Let f(x)=ax^(2)+bx+c, where a,b,c,in R and a!=0, If f(2)=3f(1) and 3 is a roots of the equation f(x)=0, then the other roots of f(x)=0 is

Let f(x)=x^(3)/3-x^(2)/2+x-16 . Find f^(')(0), f^(')(-1) .

If f(x)=x^3+3x^2+6x+2sinx then the equation 1/(x-f(1))+2/(x-f(2))+3/(x-f(3))=0 has

If x=0 and x=-1 are the roots of the polynomial f(x)=2x^(3)-3x^(2)+ax+b, find the value of a and b

If f(x)=(1-cos2x)/(x^(2)) , x!=0 and f(x) is continuous at x=0 ,then f(0)= (a) 1 (b) 2 (c) 3 (d) None of these

Let `f(x)=x^3-3(a-2)x^2+3ax+7` and `f(x)` is increasing in `(0,1]` and decreasing is `[1,5)`, then roots of the equation `(f(x)-14)/((x-1)^2)=0` is (A) `1` (B) `3` (C) `7` (D) `-2`

Similar Questions

Recommended Questions