Discuss the extremum of `f(x)=2x^3-3x^2-12 x+5` for `x in [-2,4]` and the find the range of `f(x)` for the given interval.

Discuss the extremum of f(x)=2x+3x^((2)/(3))

Discuss the extremum of f(x)=x^(2)+(1)/(x^(2))

If x in[1,2], then find the range of f(x)=tan x

find the range of f(x)=|x+2|-3

Discuss the extremum of f(x)=x(x^(2)-4)^(-(1)/(3))

Discuss the extremum of f(x)=(1)/(3)(x+(1)/(x))

Discuss the extremum of f(x)=(40)/(3x^(4)+8x3-18x^(2)+60)

Find the range of f(x)=sgn(x^(2)-2x+3)

Let f(x)=2x^(3)=9x^(2)+12x+6. Discuss the global maxima and minima of f(x) in [0,2] and (1,3) and,hence,find the range of f(x) for corresponding intervals.

Find the range of f(x)=|x^(2)-3x+2|