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

The function f(x)=x+(1)/(x)(x!=0) is a non- increasing function in the interval

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

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

If the function f(x)=x^(2)-kx+5 is increasing on [2,4], then

Find the least positive value of k for which the equation x^(2)+kx+4=0 has real roots.

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

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]

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