Find the least value of `k` for which the function `x^2+k x+1` is an increasing function in the interval `1ltxlt2`

Find the least value of k for which the function x^2+kx+1 is an increasing function in the interval 1 < x <2

find the least value of a such that the function x^(2)+ax+1 is strictly increasing on (1,2)

The function log (1+x) - (2x)/(x+2) is increasing in the interval:

The function (x-2)/(x+1),(xne0) is increasing on the interval

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

The value of k for which the function f(x)=((x)/(e^(x)-1)+(x)/(k)+1) is an even function

Find the least value of a' such that the function f(x)=x^(2)+ax+1 is increasing on [1,2]. Also find the greatest value of 'a' for which f(x) is decreasing on [1,2]

Find the intervals in which the function f(x)=x^(3)-12x^(2)+36x+117 is increasing

Find the value of k for which the function f(x)={k x+5, if x lt=2x-1, if x >2} is continuous at x=2