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+k x+1 is an increasing function in the interval (1,2)

The function f(x)=x^2-x+1 is increasing and decreasing in the intervals

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

Show that the function f(x) = 1/(1+x^(2)) is increasing function in the interval (- infty, 0] .

Find the interval in which the function f(x) =2 log (x-2) -x^(2)+4x +1 is increasing .

For what value of k, then function f(x) = k(x + sin x) + k is increasing ?

The function f(x)=x^(1//x) is increasing in the interval

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

Find the least value of the function f(x)=x^3-18 x^2+96 x in the interval [0,9] is ?

Find the intervals in which the function f(x)=2x^3-9x^2+12 x+15 is increasing and decreasing.