If `f(x) = x^3+ ax^2 + bx + c` is minimum at `x = 3` and maximum at `x =-1`, then

If f(x)=x^(3)+ax^(2)+bx+c has a maximum at x=-1 and minimum at x=3 Determine a,b and c.

Let f(x)=x^(3)+ax^(2)+bx+c , where a, b, c are real numbers. If f(x) has a local minimum at x = 1 and a local maximum at x=-1/3 and f(2)=0 , then int_(-1)^(1) f(x) dx equals-

Let f(x)=x^(3)+3x^(2)-9x+2. Then,f(x) has a maximum at x=1 (b) a minimum at x=1( c) neither a maximum nor a minimum at x=-3(d) none of these

If f(x)=bx^(2) + ax has minimum at (2, -12) then (a , b)-=..

f(x)=(x-1)(x-2)(x-3) is minimum at x=

If the function f(x)=x^3-12ax^2+36a^2x-4(agt0) attains its maximum and minimum at x=p and x=q respectively, and if 3p=q^2 , then a is equal to