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) + a x^(2) + b x + c has a maximum at x = -1 and minimum at x = 3. Find a + b.

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-

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

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

Show that f(x) = ax^(2) + bx + c (a ne0) is maximum at x = -(b)/(2a) when a lt 0 and minimum at x = -(b)/(2a) when a gt 0 . Also find the maximum and minimum values of f(x).

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)-=..