Statement 1: The function `f(x)=x^4-8x^3+22 x^2-24 x+21` is decreasing for every `x in (-oo,1)uu(2,3)` Statement 2: `f(x)` is increasing for `x in (1,2)uu(3,oo)` and has no point of inflection.

Determine the intervals in which the function f(x)=x^(4)-8x^(3)+22x^(2)-24x+21 is decreasing or increasing.

Determine the intervals in which the function f(x)=x^(4)-8x^(3)+22x^(2)-24x+21 is decreasing or increasing.

Statement 1: The function f(x)=x In x is increasing in ((1)/(e),oo) Statement 2: If both f(x) and g(x) are increasing in (a,b), then f(x)g(x) must be increasing in (a,b).

The function f(x)=-2x^(3)+21x^(2)-60x+41 ,in the interval (-oo,1) ,

Prove that the function f(x)=2x^(3)-21x^(2)+36x-40 is strictly increasing in the interval (-oo, 1) .

Function f(x)=x^(2)(x-2)^(2) is (A) increasing in (0,1)uu(2,oo)

The function f(x)=-2x^(3)+21x^(2)-60x+41",in the interval "(-oo,1) ,

The function f(x)=log x-(2x)/(x+2) is increasing for all A) x in(-oo,0) , B) x in(-oo,1) C) x in(-1,oo) D) x in(0,oo)

Let f be the function f(x)=cos x-(1-(x^(2))/(2))* Then f(x) is an increasing function in (0,oo)f(x) is a decreasing function in (-oo,oo)f(x) is an increasing function in (-oo,oo)f(x) is a decreasing function in (-oo,0)

Consider the following statements : 1. The function f(x)=x^(2)+2cosx is increasing in the interval (0,pi) 2. The function f(x)=1n(sqrt(1+x^(2)-x)) is decreasing in the interval (-oo,oo) Which of the above statements is/ are correct ?