The function `f(x)= 2x^(3) - 3x^(2) - 12x +4 ` has-

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For the function f(x) = 2 x ^(3) - 3x ^(2) - 12 x + 4 which of the following statement is correct

Show that the function f(x) = x^(3) - 6x^(2) + 12x - 18 is an increasing function on R.

Separate the intervals of monotonicity for the following functions. f(x) = -2x^(3) - 9x^(2) - 12x + 1

The interval in which the function f(x) =2x^(3) + 9x^(2) + 12x + 20 is strictly increasing, is:

Find the points of local maxima and local minima of the function f(x)=2x^(3)-3x^(2)-12x+8 .

Find the absolute maximum and absolute minimum values of the function f(x)=2x^(3)+3x^(2)-12x on [-3, 2]

Find the interval in which the function f(x) = 3x^(4) - 4x^(3) -12x^(2) + 5 is strictly increasing