For the cubic function `f(x)=2x^3+9x^2+12 x+1,` which one of the following statement/statements hold good? `f(x)` is non-monotonic. `f(x)` increases in `(-oo,-2)uu(-1,oo)` and decreases in `(-2,-1)` `f: RvecR` is bijective. Inflection point occurs at `x=-3/2dot`

Which one of the following statements does not hold good for the function f(x)=cos^(-1)(2x^(2)-1)?

For which interval the given function f(x)=2x^3-9x^2+12x+1 is decreasing?

A function is defined as f(x)=lim_(x rarr oo)[cos^(2n)x, if x 1 which of the following does not hold good?

The interval on which the function f(x)=-2x^(3)-9x^(2)-12x+1 is increasing is :

A continuous and differentiable function f(x) is increasing in (-oo,3/2) and decreasing in (3/2,oo) then x=3/2 is

Find the intervals in which f(x)=-2x^(3)-9x^(2)-12x+1 is increasing or decreasing.

Function f(x)=2x^(3)-9x^(2)+12x+29 is monotonically decreasing when (a) x 2( c) x>3(d)'1

Let f(x)=a(x-x_1)(x-x_2)\ w h e r e\ a ,\ x_1a n d\ x_2\ are real numbers such that a\ !=0\ a n d\ x_1+\ x_2=0. Then which of the following statements is/are always correct? f(x) is increasing in (-oo,0)\ and decreasing in (0,oo) f(x) is decreasing in (-oo,0) and increasing in (0,oo) f(x) is non monotonic on R f(x) has an extremum point