Let `f(x) = 2x^3-9x^2 + 12x + 8`, the number of values of x for which `y = f(f(x))` attains local extremum is/are

Let f(x)={(|x-2|+a^2-9a-9 ,ifx lt 2, 2x-3 ,ifx ge 2:} Then find value of 'a' for which f(x) has local minima at x= 2

If a differentiable function f(x) attains a local extremum at x=a , then -

Let a and b respectively be the points of local maximum and local minimum of the function f (x) = 2x^3 - 3x^2 - 12x. If A is the total area of the region bounded by y = f (x), the x-axis and the lines x = a and x = b, then 4 A is equal to __________.

Find the intervals in which f(x) = 2x^(3) - 9x^(2) - 12 x -3 is increasing and the intervals in which f(x) is decreasing.

Let f(x)=x^(3)-x^(2)+12x-3 then at x=2f(x) has

Let f(x)=x^3-6x^2+12x-3 . Then at x=2 f(x) has

Let f(x)=x^3-6x^2+12x-3 . Then at x=2 f(x) has

Let f(x)={:{(|x-2|+a^(2)-9a-9","ifxlt2),(2x-3"," if xge2):} Then, find the value of 'a' for which f(x) has local minimum at x=2

Let f(x)={:{(|x-2|+a^(2)-9a-9","ifxlt2),(2x-3"," if xge2):} Then, find the value of 'a' for which f(x) has local minimum at x=2