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

Find the least value of a so that the function f(x) = x^2 + ax + 1 is strictly increasing on (1, 2).

Find the least value of a such that the function f given by f(x)=x^2+ax+1 is strictly increasing on (1,2)

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]

Show that the function f(x) = 2x+1 is strictly increasing on R.

Show that the function f(x) = 2x+1 is strictly increasing on R.

If yR' is the least value of 'a' such that the function f(x) = x^(2) + ax +1 is increasing on [1, 2] and 'S' is the greatest value of ' a' such that the function f(x) = x^(2) + ax +1 is decreasing on [1, 2], then the value of |R — S| is_____________

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 a such that the function given by f(x)=x^(2)+ax+1 is strictly increasing on (1, 2).

Find the least value of a such that the function f given by f(x)=x^2+a x+1 is strictly increasing on (1,2)

Find the least value of a such that the function f given by f(x)=x^(2)+ax+1 is strictly increasing on (1,2)