Let f(x)`=x^(3) +3(a-7)x^(2)+3(a^(2) -9) x-1.` If f(x) has positive point of maxima then find possible values of 'a'

If the function f(x)=x^(3)+3(a-7)x^(2)+3(a^(2)-9)x-1 has a positive point of maximum , then

If the function f(x) = x^3 + 3(a-7)x^2 +3(a^2-9)x-1 has a positive point Maximum , then

The value of a for which x^(3)+3(a-7)x^(2)+3(a^(2)-9)x-2 has a + ve point of maxima

Let f(x) = x^(3)-3(7-a)X^(2)-3(9-a^(2))x+2 The values of parameter a if f(x) has a positive point of local maxima are

Let f(x) =x^(3) -x^(2) -x-4 (i) find the possible points of maxima // minima of f(x) x in R (ii) Find the number of critical points of f(x) x in [1,3] (iii) Discuss absolute (global) maxima // minima value of f(x) for x in [-2,2] (iv) Prove that for x in (1,3) the function does not has a Global maximum.

Let f(x) =x^(3) =x^(2) -x-4 (i) find the possible points of maxima // minima of f(x) x in R (ii) Find the number of critical points of f(x) x in [1,3] (iii) Discuss absolute (global) maxima // minima value of f(x) for x in [-2,2] (iv) Prove that for x in (1,3) the function does not has a Global maximum.

Let f(x)=x^(3)-3x^(2)+2x. If the equation f(x)=k has exactly one positive and one negative solution then the value of k equals.-(2sqrt(3))/(9)(b)-(2)/(9)(2)/(3sqrt(3)) (d) (1)/(3sqrt(3))

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

Let f(x) = x^(3)-3(7-a)x^(2)-3(9-a^(2))x+2 The values of parameter a if f(x) has points of extrema which are opposite in sign are