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

Verify the truth of Rolle's Theorem for the following functions : f(x)=x^(3)-2x^(2)-3x in the interval [-1, 3].

At what values of a do all the zeroes of the function f(x)=(a-2)x^(2)+2ax+a+3 lies on the interval (-2,1)

Verify Rolle's theorem for the function f(x)=x^(3)-3x^(2)+2x in the interval [0,2] .

The function f(x)=2x^(3)-15x^(2)+36x+1 is increasing in the interval

The function f(x)=x^(2)+2x-5 is increasing in the interval

The greatest value of the function f(x)=2.3^(3x)-3^(2x).4+2.3^(x) in the interval [-1,1] is

The function f(x) = 2x^(3) + 3x^(2) -12 x + 1 decreases in the interval

the value of the function f(x)=(x^(2)-3x+2)/(x^(2)+x-6) lies in the interval.

The function f(x)=(1)/(1+x^(2)) is decreasing in the interval (i)(-oo,-1)(ii)(-oo,0)(iii)(1,oo)(iv)(0,oo)