If the greatest and least values of the function `f(x)=x^(3)-6x^(2)+9x+1` on `[0,2]` are `K` and `P` ,then find the value of `K^(4)+P^(8)` .

Similar Questions

Explore conceptually related problems

Find the greatest and least values of function f(x)=3x^(4)-8x^(3)-18x^(2)+1

Find the greatest value of the function f(x)=(2)/sqrt(2x^(2)-4x+3)

Find the greatest and least values of function f(x)={-x , -1lt=x<0 2-(x-1)^2, 0lt=xlt=2

Find the greatest &x least value for the function; y=x+sin2x,0<=x<=2 pi

The least and greatest values of f(x)=x^(3)-6x^(2)+9x in [0,6], are 3,4(b)0,6(c)0,3(d)3,6

Find the greatest and least values of f(x) =x^(2) -12x " "X in [-1,3] .

If the function f(x) = x^(3)-24x^(2)+6kx-8 is maximum at x = 2 then find value of k.

Greatest value of the expression (8)/( 9x^(2) - 6x + 5) is

If maximum & minimum value of function f(x)=x^(3)-6x^(2)+9x+1 AA x in [0, 2] are M & m respectively, then value of M – 2m is :