" If "f(x)=2x^(3)-9ax^(2)+12a^(2)x+1" has a local maximum at "x=x_(1)" and "a" local minimum at "x=x_(2)," such that "x_(2)=x_(1)^(2)," then a is equal "

The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a , if

let f(x)=(x^(2)-1)^(n)(x^(2)+x-1) then f(x) has local minimum at x=1 when

Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local maximum and local minimum.

If the function f(x)=2x^(3)-9ax^(2)+12x^(2)x+1, where a>0, attains its maximum and minimum at p and q, respectively,such that p^(2)=q, then a equal to (a) 1 (b) 2 (c) (1)/(2) (d) 3

Let f(x)={1x-2l+a^(2)-9a-9 if x =2 if f(x) has local minimum at x=2, then

Find the local maximum and local minimum value of f(x)= x^(3)-3x^(2)-24x+5